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Grosse, Harald

Co-Author Distance
Author ID: grosse.harald Recent zbMATH articles by "Grosse, Harald"
Published as: Grosse, Harald; Grosse, H.
Homepage: https://physik.cosmos-indirekt.de/Physik-Schule/Harald_Grosse
External Links: MGP · Wikidata · ResearchGate · GND · IdRef · theses.fr
Documents Indexed: 143 Publications since 1976, including 2 Books and 9 Additional arXiv Preprints
4 Contributions as Editor
Co-Authors: 76 Co-Authors with 133 Joint Publications
1,516 Co-Co-Authors
all top 5

Co-Authors

9 single-authored
29 Wulkenhaar, Raimar
15 Prešnajder, Peter
9 Steinacker, Harold
7 Klimčík, Ctirad
7 Schlesinger, Karl-Georg
6 Gesztesy, Fritz
6 Langmann, Edwin
5 Martin, André
5 Pittner, Ludwig
5 Reiter, Gert
5 Schweda, Manfred
5 Wohlgenannt, Michael
4 Carey, Alan L.
4 Grimstrup, Jesper Møller
4 Hock, Alexander
4 Madore, John
4 Popp, Lukas
4 Raschhofer, Ernst
4 Sako, Akifumi
3 Bichl, Andreas A.
3 Bollé, D.
3 Dabrowski, Ludwik
3 Falkensteiner, P.
3 Lechner, Gandalf
3 Maderner, Walter
2 Alekseev, Anton Yur’evich
2 Chaichian, Masud
2 Efinger, Helmut J.
2 Glaser, Vladimir Jurko
2 Kaad, Jens
2 Kummer, Wolfgang
2 Putz, Volkmar
2 Reitberger, Christian
2 Rupp, Christian W.
2 Schomerus, Volker
2 Schwarz, Dominik J.
2 Simon, Barry
2 Strohmaier, Alexander
2 Stubbe, Joachim
2 Thaller, Bernd
1 Arnlind, Joakim
1 Blaschke, Daniel N.
1 Bozkaya, H.
1 Branahl, Johannes
1 Burić, Maja
1 Chadan, Khosrow
1 Exner, Pavel
1 Gausterer, H.
1 Gerhold, A.
1 Gittel, Hans-Peter
1 Hackbusch, Wolfgang
1 Hajac, Piotr M.
1 Hoàng Xuân Phù
1 Kanomata, Naoyuki
1 Kornexl, M.
1 Levitina, Galina Borisovna
1 Lizzi, Fedele
1 Ludwig, Thomas
1 Maceda, Marco
1 Oberguggenberger, Michael B.
1 Pallua, Silvio
1 Paufler, Cornelius
1 Pitschmann, Mario
1 Popov, Viktor Nikolaevich
1 Potapov, Denis
1 Rosenberg, Steven
1 Schraml, Stefan
1 Schweiger, Wolfgang
1 Sukochev, Fedor Anatol’evich
1 Thirring, Walter E.
1 Todorov, Ivan T.
1 Verch, Rainer
1 Vignes-Tourneret, Fabien
1 Wallet, Jean-Christophe
1 Wang, Zhituo
1 Wulkenhaar, Raimer
1 Zanin, Dmitriy V.
all top 5

Serials

19 Letters in Mathematical Physics
14 Journal of Mathematical Physics
12 Communications in Mathematical Physics
8 Journal of Physics A: Mathematical and General
7 Journal of High Energy Physics
6 Journal of Geometry and Physics
6 The European Physical Journal C. Particles and Fields
5 Nuclear Physics. B
4 International Journal of Modern Physics A
3 Fortschritte der Physik
3 Vietnam Journal of Mathematics
2 General Relativity and Gravitation
2 International Journal of Theoretical Physics
2 Bulgarian Journal of Physics
2 Czechoslovak Journal of Physics
2 Lecture Notes in Physics
2 Cambridge Monographs on Particle Physics, Nuclear Physics, and Cosmology
1 International Journal of Modern Physics B
1 Physics Letters. A
1 Physics Letters. B
1 Reviews in Mathematical Physics
1 Advances in Mathematics
1 Advances in Applied Mathematics
1 Annals of Physics
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Advances in Theoretical and Mathematical Physics
1 Journal of Noncommutative Geometry
1 Journal of Physics A: Mathematical and Theoretical
1 ESI Lectures in Mathematics and Physics
all top 5

Fields

119 Quantum theory (81-XX)
29 Functional analysis (46-XX)
20 Global analysis, analysis on manifolds (58-XX)
19 Operator theory (47-XX)
16 Nonassociative rings and algebras (17-XX)
13 Partial differential equations (35-XX)
12 Statistical mechanics, structure of matter (82-XX)
10 Relativity and gravitational theory (83-XX)
6 Differential geometry (53-XX)
5 Associative rings and algebras (16-XX)
4 General and overarching topics; collections (00-XX)
4 Algebraic geometry (14-XX)
4 Special functions (33-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Topological groups, Lie groups (22-XX)
3 Integral equations (45-XX)
2 Combinatorics (05-XX)
2 \(K\)-theory (19-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Ordinary differential equations (34-XX)
2 Dynamical systems and ergodic theory (37-XX)
1 History and biography (01-XX)
1 Number theory (11-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Integral transforms, operational calculus (44-XX)
1 Algebraic topology (55-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

101 Publications have been cited 1,577 times in 880 Documents Cited by ▼ Year ▼
Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base. Zbl 1075.82005
Grosse, Harald; Wulkenhaar, Raimar
165
2005
Self-dual noncommutative \(\phi^4\)-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory. Zbl 1305.81129
Grosse, Harald; Wulkenhaar, Raimar
68
2014
On finite 4D quantum field theory in non-commutative geometry. Zbl 0872.58008
Grosse, H.; Klimčík, C.; Prešnajder, P.
66
1996
Combinatorial quantization of the Hamiltonian Chern-Simons theory. I. Zbl 0842.58037
Alekseev, Anton Yu.; Grosse, Harald; Schomerus, Volker
60
1995
Finite quantum field theory in noncommutative geometry. Zbl 0846.58015
Grosse, H.; Klimčík, C.; Prešnajder, P.
59
1996
The Dirac operator on the fuzzy sphere. Zbl 0840.58011
Grosse, H.; Prešnajder, P.
57
1995
Power-counting theorem for non-local matrix models and renormalisation. Zbl 1079.81049
Grosse, Harald; Wulkenhaar, Raimar
54
2005
Topologically nontrivial field configurations in noncommutative geometry. Zbl 0920.58007
Grosse, H.; Klimčík, C.; Prešnajder, P.
53
1996
Combinatorial quantization of the Hamiltonian Chern-Simons theory. II. Zbl 0842.58038
Alekseev, Anton Yu.; Grosse, Harald; Schomerus, Volker
46
1996
The \(\beta \)-function in duality-covariant non-commutative \(f^{4}\phi^4\) -theory. Zbl 1191.81207
Grosse, Harald; Wulkenhaar, Raimar
45
2004
The construction of noncommutative manifolds using coherent states. Zbl 0813.46065
Grosse, H.; Prešnajder, P.
44
1993
Field theory on a supersymmetric lattice. Zbl 0874.46050
Grosse, H.; Klimčík, C.; Prešnajder, P.
39
1997
Wedge-local quantum fields and noncommutative Minkowski space. Zbl 1245.81048
Grosse, Harald; Lechner, Gandalf
38
2007
Renormalisation of \(\Phi^4\)-theory on non-commutative \(\mathbb R^4\) to all orders. Zbl 1115.81055
Grosse, Harald; Wulkenhaar, Raimar
35
2005
Noncommutative deformations of Wightman quantum field theories. Zbl 1245.81069
Grosse, Harald; Lechner, Gandalf
33
2008
Induced gauge theory on a noncommutative space. Zbl 1189.81217
Grosse, H.; Wohlgenannt, M.
33
2007
Witten index, axial anomaly, and Krein’s spectral shift function in supersymmetric quantum mechanics. Zbl 0643.47005
Bollé, D.; Gesztesy, F.; Grosse, H.; Schweiger, W.; Simon, B.
32
1987
A family of optimal conditions for the absence of bound states in a potential. Zbl 0332.31004
Glaser, V.; Martin, A.; Grosse, H.; Thirring, W.
27
1976
Strong connections and Chern-Connes pairing in the Hopf-Galois theory. Zbl 0990.58008
Dąbrowski, Ludwik; Grosse, Harald; Hajac, Piotr M.
26
2001
Finite gauge theory on fuzzy \(\mathbb CP^2\). Zbl 1160.81410
Grosse, Harald; Steinacker, Harald
25
2005
Noncommutative geometry and the regularization problem of 4D quantum field theory. Zbl 0957.81090
Grosse, H.; Strohmaier, Alexander
24
1999
Field theory on the \(q\)-deformed fuzzy sphere. I. Zbl 1130.81346
Grosse, H.; Madore, J.; Steinacker, H.
24
2001
Emergent gravity, matrix models and UV/IR mixing. Zbl 1246.81162
Grosse, Harald; Steinacker, Harold; Wohlgenannt, Michael
24
2008
Renormalization of the noncommutative \(\phi^3\) model through the Kontsevich model. Zbl 1178.81190
Grosse, Harald; Steinacker, Harold
23
2006
A rigorous approach to relativistic corrections of bound state energies for spin-1/2 particles. Zbl 0534.46053
Gesztesy, F.; Grosse, H.; Thaller, B.
22
1984
Bounds on the number of eigenvalues of the Schrödinger operator. Zbl 0373.35050
Glaser, V.; Grosse, H.; Martin, A.
21
1978
Particle physics and the Schrödinger equation. Zbl 0946.81003
Grosse, Harald; Martin, André
19
1997
8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative gauge theory. Zbl 1243.58005
Grosse, Harald; Wulkenhaar, Raimar
19
2012
A noncommutative regularization of the Schwinger model. Zbl 0920.46049
Grosse, H.; Prešnajder, P.
18
1998
Field theory on the \(q\)-deformed fuzzy sphere. II: Quantization. Zbl 1130.81347
Grosse, H.; Madore, J.; Steinacker, H.
17
2002
Solution of the self-dual \(\Phi^4\) QFT-model on four-dimensional Moyal space. Zbl 1434.81046
Grosse, Harald; Hock, Alexander; Wulkenhaar, Raimar
17
2020
Exact renormalization of a noncommutative \(\phi^3\) model in 6 dimensions. Zbl 1177.81104
Grosse, Harald; Steinacker, Harold
16
2008
Fuzzy line bundles, the Chern character and topological charges over the fuzzy sphere. Zbl 1030.46105
Grosse, Harald; Rupp, Christian W.; Strohmaier, Alexander
14
2002
Novel symmetry of non-Einsteinian gravity in two dimensions. Zbl 0764.53052
Grosse, Harald; Kummer, Wolfgang; Prešnajder, Peter; Schwarz, Dominik J.
13
1992
On the fixed point equation of a solvable 4D QFT model. Zbl 1334.81077
Grosse, Harald; Wulkenhaar, Raimar
13
2016
Supersymmetric quantum mechanics defined as sesquilinear forms. Zbl 0636.46068
Grosse, H.; Pittner, L.
13
1987
On a quantum group invariant spin chain with non-local boundary conditions. Zbl 0850.82004
Grosse, H.; Pallua, S.; Prester, P.; Raschhofer, E.
12
1994
On quantum holonomy for mixed states. Zbl 0734.46046
Dabrowski, L.; Grosse, H.
12
1990
Exact solution of matricial \(\Phi_2^3\) quantum field theory. Zbl 1375.81170
Grosse, Harald; Sako, Akifumi; Wulkenhaar, Raimar
12
2017
The \(\Phi_4^3\) and \(\Phi_6^3\) matricial QFT models have reflection positive two-point function. Zbl 1380.81193
Grosse, Harald; Sako, Akifumi; Wulkenhaar, Raimar
12
2018
Unitary representations of the \(q\)-oscillator algebra. Zbl 0834.17029
Chaichian, M.; Grosse, H.; Prešnajder, P.
11
1994
Quantization of fermions interacting with point-like external fields. Zbl 0635.46063
Falkensteiner, P.; Grosse, H.
10
1987
On nonlocal point interactions in one, two, and three dimensions. Zbl 0585.47038
Dabrowski, L.; Grosse, H.
10
1985
The symmetry of the Hubbard model. Zbl 0704.60106
Grosse, H.
9
1989
Non-commutative Lorentz symmetry and the origin of the Seiberg-Witten map. Zbl 1099.81520
Bichl, A. A.; Grimstrup, J. M.; Grosse, H.; Kraus, E.; Popp, L.; Schweda, M.; Wulkenhaar, R.
9
2002
The fuzzy supersphere. Zbl 0933.58002
Grosse, H.; Reiter, G.
9
1998
Time delay for long-range interactions. Zbl 0517.47007
Bolle, D.; Gesztesy, F.; Grosse, H.
9
1983
The Luttinger-Schwinger model. Zbl 0908.58078
Grosse, Harald; Langmann, Edwin; Raschhofer, Ernst
7
1997
From scalar fields on quantum spaces to blobbed topological recursion. Zbl 1519.81473
Branahl, Johannes; Hock, Alexander; Grosse, Harald; Wulkenhaar, Raimar
7
2022
Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences. Zbl 1342.81631
Blaschke, Daniel N.; Grosse, Harald; Wallet, Jean-Christophe
6
2013
Noncommutative \(U(1)\) super-Yang-Mills theory: perturbative self-energy corrections. Zbl 1059.81168
Bichl, A. A.; Ertl, M.; Gerhold, A.; Grimstrup, J. M.; Popp, L.; Putz, V.; Schweda, M.; Grosse, H.; Wulkenhaar, R.
6
2004
Space/time non-commutative field theories and causality. Zbl 1030.81021
Bozkaya, H.; Fischer, P.; Grosse, H.; Pitschmann, M.; Putz, V.; Schweda, M.; Wulkenhaar, R.
6
2003
Quantum field theory on quantized Bergman domain. Zbl 1273.81139
Grosse, H.; Prešnajder, P.; Wang, Zhituo
6
2012
Graded differential geometry of graded matrix algebras. Zbl 0958.58004
Grosse, H.; Reiter, G.
5
1999
Anomalies of Dirac type operators on Euclidean space. Zbl 1321.47026
Carey, Alan; Grosse, Harald; Kaad, Jens
5
2015
Regularisation and renormalisation of quantum field theories on noncommutative spaces. Zbl 1142.81365
Grosse, Harald; Wulkenhaar, Raimar
5
2003
Noncommutative QFT and renormalization. Zbl 1241.81145
Grosse, H.; Wulkenhaar, R.
5
2006
Fuzzy instantons. Zbl 1014.81054
Grosse, Harald; Maceda, Marco; Madore, John; Steinacker, Harold
5
2002
Solitons of the modified KdV equation. Zbl 0557.35117
Grosse, H.
5
1984
Geometry and quantum physics. Proceedings of the 38th internationale Universitätswochen für Kern- und Teilchenphysik, Schladming, Austria, January 9–16, 1999. Zbl 0963.00032
4
1999
Trace formulas for a class of non-Fredholm operators: a review. Zbl 1394.47023
Carey, Alan; Gesztesy, Fritz; Grosse, Harald; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy
4
2016
Krein’s spectral shift function and Fredholm determinants as efficient methods to study supersymmetric quantum mechanics. Zbl 0626.46062
Bollé, D.; Gesztesy, F.; Grosse, H.; Simon, B.
4
1987
Wick rotation for quantum field theories on degenerate Moyal space(-time). Zbl 1280.81136
Grosse, Harald; Lechner, Gandalf; Ludwig, Thomas; Verch, Rainer
4
2013
First-order relativistic corrections and spectral concentration. Zbl 0595.47007
Gesztesy, F.; Grosse, H.; Thaller, B.
4
1985
A Laplacian to compute intersection numbers on \(\overline{\mathcal{M}}_{g,n}\) and correlation functions in NCQFT. Zbl 1521.81185
Hock, Alexander; Grosse, Harald; Wulkenhaar, Raimar
4
2023
On current superalgebras and super-Schwinger terms. Zbl 0726.17006
Grosse, H.; Langmann, E.
3
1991
Noncommutative quantum field theory. Zbl 1338.81354
Grosse, H.; Wulkenhaar, R.
3
2013
Gauge symmetry breaking in matrix models. Zbl 1225.83065
Grosse, Harald; Lizzi, Fedele; Steinacker, Harold
3
2011
The geometric phase and the Schwinger term in some models. Zbl 0972.81636
Grosse, H.; Langmann, E.
3
1992
The superfield formalism applied to the noncommutative Wess-Zumino model. Zbl 0965.81117
Bichl, Andreas A.; Grimstrup, Jesper M.; Popp, Lukas; Schweda, Manfred; Grosse, Harald
3
2000
Implementability of gauge transformations and quantization of fermions in external fields. Zbl 0622.46054
Grosse, H.; Karner, G.
3
1987
Construction of a noncommutative quantum field theory. Zbl 1319.81064
Grosse, Harald; Wulkenhaar, Raimer
3
2013
A supersymmetric generalization of von Neumann’s theorem. Zbl 0639.17013
Grosse, H.; Pittner, L.
3
1988
Quantum field theory on the degenerate Moyal space. Zbl 1198.81183
Grosse, Harald; Vignes-Tourneret, Fabien
3
2010
On the relation between spin systems and fermion systems. Zbl 0941.82504
Grosse, H.; Popov, V. N.
2
1994
Noncommutative QFT and renormalization. Zbl 1119.81096
Grosse, Harald; Wulkenhaar, Raimar
2
2007
Noncommutative QFT and renormalization. Zbl 1094.81050
Grosse, Harald; Wulkenhaar, Raimar
2
2006
Simple field theoretical models on noncommutative manifolds. Zbl 0919.58005
Grosse, H.; Klimčík, C.; Prešnajder, P.
2
1996
Unitary implementability of gauge transformations for the Dirichlet operator and the Schwinger term. Zbl 0663.35072
Falkensteiner, P.; Grosse, H.
2
1987
Renormalization of noncommutative quantum field theory. Zbl 1139.81389
Grosse, Harald; Wulkenhaar, Raimar
2
2008
On a trialgebraic deformation of the Manin plane. Zbl 0966.58003
Grosse, Harald; Schlesinger, Karl-Georg
2
2000
Exact solution of a 1D quantum many-body system with momentum-dependent interactions. Zbl 1062.81027
Grosse, Harald; Langmann, Edwin; Paufler, Cornelius
2
2004
Duals for non-abelian lattice gauge theories by categorical methods. Zbl 0980.81046
Grosse, Harald; Schlesinger, Karl-Georg
2
2001
A suggestion for an integrability notion for two-dimensional spin systems. Zbl 1051.82005
Grosse, Harald; Schlesinger, Karl-Georg
2
2001
On second quantization of quantum groups. Zbl 0973.81053
Grosse, Harald; Schlesinger, Karl-Georg
2
2000
Integrability and positivity in quantum field theory on noncommutative geometry. Zbl 1404.81184
Grosse, Harald; Wulkenhaar, Raimar
2
2018
Gauge fields on noncommutative geometries with curvature. Zbl 1290.81148
Burić, M.; Grosse, H.; Madore, J.
2
2010
Groups of automorphisms of the canonical commutation and anticommutation relations. Zbl 0655.46061
Grosse, H.; Pittner, L.
2
1988
Splitting of Landau levels in the presence of external potentials. Zbl 0831.47050
Grosse, H.; Stubbe, J.
1
1995
\(N=2\) superalgebra and non-commutative geometry. Zbl 0945.58009
Grosse, H.; Klimčík, C.; Prešnajder, P.
1
1998
Simple fuzzy (super)spaces. Zbl 1073.58500
Grosse, H.; Reiter, G.
1
2000
Schwinger terms and cyclic cohomology for massive 1+1-dimensional fermions and Virasoro algebras. Zbl 0791.58021
Grosse, Harald; Maderner, Walter; Reitberger, Christian
1
1993
Preface: Special issue dedicated to Eberhard Zeidler’s 75th birthday. Zbl 1334.00106
1
2016
On a spectral flow formula for the homological index. Zbl 1332.19006
Carey, Alan; Grosse, Harald; Kaad, Jens
1
2016
Bethe-Ansatz solution of a modified \(SU(3)-XXZ\)-model. Zbl 0860.58050
Grosse, H.; Raschhofer, E.
1
1994
Renormalization and induced gauge action on a noncommutative space. Zbl 1142.81364
Grosse, Harald; Wohlgenannt, Michael
1
2008
Generalized functions for quantum fields obeying quadratic exchange relations. Zbl 0986.81071
Grosse, H.; Oberguggenberger, M.; Todorov, I. T.
1
2000
Real symmetric \(\Phi^4\)-matrix model as Calogero-Moser model. Zbl 1540.81122
Grosse, Harald; Kanomata, Naoyuki; Sako, Akifumi; Wulkenhaar, Raimar
1
2024
Taming the Landau ghost in noncommutative quantum field theory. Zbl 1170.81435
Grosse, Harald
1
2008
On bound state solutions for certain nonlinear Schrödinger equations. Zbl 0557.35030
Efinger, H. J.; Grosse, H.
1
1984
Real symmetric \(\Phi^4\)-matrix model as Calogero-Moser model. Zbl 1540.81122
Grosse, Harald; Kanomata, Naoyuki; Sako, Akifumi; Wulkenhaar, Raimar
1
2024
A Laplacian to compute intersection numbers on \(\overline{\mathcal{M}}_{g,n}\) and correlation functions in NCQFT. Zbl 1521.81185
Hock, Alexander; Grosse, Harald; Wulkenhaar, Raimar
4
2023
From scalar fields on quantum spaces to blobbed topological recursion. Zbl 1519.81473
Branahl, Johannes; Hock, Alexander; Grosse, Harald; Wulkenhaar, Raimar
7
2022
Solution of the self-dual \(\Phi^4\) QFT-model on four-dimensional Moyal space. Zbl 1434.81046
Grosse, Harald; Hock, Alexander; Wulkenhaar, Raimar
17
2020
How Prof. Zeidler supported our research on exact solution of quantum field theory toy models. Zbl 1414.81157
Grosse, Harald; Wulkenhaar, Raimar
1
2019
The \(\Phi_4^3\) and \(\Phi_6^3\) matricial QFT models have reflection positive two-point function. Zbl 1380.81193
Grosse, Harald; Sako, Akifumi; Wulkenhaar, Raimar
12
2018
Integrability and positivity in quantum field theory on noncommutative geometry. Zbl 1404.81184
Grosse, Harald; Wulkenhaar, Raimar
2
2018
Exact solution of matricial \(\Phi_2^3\) quantum field theory. Zbl 1375.81170
Grosse, Harald; Sako, Akifumi; Wulkenhaar, Raimar
12
2017
On the fixed point equation of a solvable 4D QFT model. Zbl 1334.81077
Grosse, Harald; Wulkenhaar, Raimar
13
2016
Trace formulas for a class of non-Fredholm operators: a review. Zbl 1394.47023
Carey, Alan; Gesztesy, Fritz; Grosse, Harald; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy
4
2016
Preface: Special issue dedicated to Eberhard Zeidler’s 75th birthday. Zbl 1334.00106
1
2016
On a spectral flow formula for the homological index. Zbl 1332.19006
Carey, Alan; Grosse, Harald; Kaad, Jens
1
2016
Anomalies of Dirac type operators on Euclidean space. Zbl 1321.47026
Carey, Alan; Grosse, Harald; Kaad, Jens
5
2015
Self-dual noncommutative \(\phi^4\)-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory. Zbl 1305.81129
Grosse, Harald; Wulkenhaar, Raimar
68
2014
Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences. Zbl 1342.81631
Blaschke, Daniel N.; Grosse, Harald; Wallet, Jean-Christophe
6
2013
Wick rotation for quantum field theories on degenerate Moyal space(-time). Zbl 1280.81136
Grosse, Harald; Lechner, Gandalf; Ludwig, Thomas; Verch, Rainer
4
2013
Noncommutative quantum field theory. Zbl 1338.81354
Grosse, H.; Wulkenhaar, R.
3
2013
Construction of a noncommutative quantum field theory. Zbl 1319.81064
Grosse, Harald; Wulkenhaar, Raimer
3
2013
8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative gauge theory. Zbl 1243.58005
Grosse, Harald; Wulkenhaar, Raimar
19
2012
Quantum field theory on quantized Bergman domain. Zbl 1273.81139
Grosse, H.; Prešnajder, P.; Wang, Zhituo
6
2012
Gauge symmetry breaking in matrix models. Zbl 1225.83065
Grosse, Harald; Lizzi, Fedele; Steinacker, Harold
3
2011
Quantum field theory on the degenerate Moyal space. Zbl 1198.81183
Grosse, Harald; Vignes-Tourneret, Fabien
3
2010
Gauge fields on noncommutative geometries with curvature. Zbl 1290.81148
Burić, M.; Grosse, H.; Madore, J.
2
2010
Noncommutative deformations of Wightman quantum field theories. Zbl 1245.81069
Grosse, Harald; Lechner, Gandalf
33
2008
Emergent gravity, matrix models and UV/IR mixing. Zbl 1246.81162
Grosse, Harald; Steinacker, Harold; Wohlgenannt, Michael
24
2008
Exact renormalization of a noncommutative \(\phi^3\) model in 6 dimensions. Zbl 1177.81104
Grosse, Harald; Steinacker, Harold
16
2008
Renormalization of noncommutative quantum field theory. Zbl 1139.81389
Grosse, Harald; Wulkenhaar, Raimar
2
2008
Renormalization and induced gauge action on a noncommutative space. Zbl 1142.81364
Grosse, Harald; Wohlgenannt, Michael
1
2008
Taming the Landau ghost in noncommutative quantum field theory. Zbl 1170.81435
Grosse, Harald
1
2008
Wedge-local quantum fields and noncommutative Minkowski space. Zbl 1245.81048
Grosse, Harald; Lechner, Gandalf
38
2007
Induced gauge theory on a noncommutative space. Zbl 1189.81217
Grosse, H.; Wohlgenannt, M.
33
2007
Noncommutative QFT and renormalization. Zbl 1119.81096
Grosse, Harald; Wulkenhaar, Raimar
2
2007
Renormalization of the noncommutative \(\phi^3\) model through the Kontsevich model. Zbl 1178.81190
Grosse, Harald; Steinacker, Harold
23
2006
Noncommutative QFT and renormalization. Zbl 1241.81145
Grosse, H.; Wulkenhaar, R.
5
2006
Noncommutative QFT and renormalization. Zbl 1094.81050
Grosse, Harald; Wulkenhaar, Raimar
2
2006
Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base. Zbl 1075.82005
Grosse, Harald; Wulkenhaar, Raimar
165
2005
Power-counting theorem for non-local matrix models and renormalisation. Zbl 1079.81049
Grosse, Harald; Wulkenhaar, Raimar
54
2005
Renormalisation of \(\Phi^4\)-theory on non-commutative \(\mathbb R^4\) to all orders. Zbl 1115.81055
Grosse, Harald; Wulkenhaar, Raimar
35
2005
Finite gauge theory on fuzzy \(\mathbb CP^2\). Zbl 1160.81410
Grosse, Harald; Steinacker, Harald
25
2005
The \(\beta \)-function in duality-covariant non-commutative \(f^{4}\phi^4\) -theory. Zbl 1191.81207
Grosse, Harald; Wulkenhaar, Raimar
45
2004
Noncommutative \(U(1)\) super-Yang-Mills theory: perturbative self-energy corrections. Zbl 1059.81168
Bichl, A. A.; Ertl, M.; Gerhold, A.; Grimstrup, J. M.; Popp, L.; Putz, V.; Schweda, M.; Grosse, H.; Wulkenhaar, R.
6
2004
Exact solution of a 1D quantum many-body system with momentum-dependent interactions. Zbl 1062.81027
Grosse, Harald; Langmann, Edwin; Paufler, Cornelius
2
2004
Space/time non-commutative field theories and causality. Zbl 1030.81021
Bozkaya, H.; Fischer, P.; Grosse, H.; Pitschmann, M.; Putz, V.; Schweda, M.; Wulkenhaar, R.
6
2003
Regularisation and renormalisation of quantum field theories on noncommutative spaces. Zbl 1142.81365
Grosse, Harald; Wulkenhaar, Raimar
5
2003
Field theory on the \(q\)-deformed fuzzy sphere. II: Quantization. Zbl 1130.81347
Grosse, H.; Madore, J.; Steinacker, H.
17
2002
Fuzzy line bundles, the Chern character and topological charges over the fuzzy sphere. Zbl 1030.46105
Grosse, Harald; Rupp, Christian W.; Strohmaier, Alexander
14
2002
Non-commutative Lorentz symmetry and the origin of the Seiberg-Witten map. Zbl 1099.81520
Bichl, A. A.; Grimstrup, J. M.; Grosse, H.; Kraus, E.; Popp, L.; Schweda, M.; Wulkenhaar, R.
9
2002
Fuzzy instantons. Zbl 1014.81054
Grosse, Harald; Maceda, Marco; Madore, John; Steinacker, Harold
5
2002
Strong connections and Chern-Connes pairing in the Hopf-Galois theory. Zbl 0990.58008
Dąbrowski, Ludwik; Grosse, Harald; Hajac, Piotr M.
26
2001
Field theory on the \(q\)-deformed fuzzy sphere. I. Zbl 1130.81346
Grosse, H.; Madore, J.; Steinacker, H.
24
2001
Duals for non-abelian lattice gauge theories by categorical methods. Zbl 0980.81046
Grosse, Harald; Schlesinger, Karl-Georg
2
2001
A suggestion for an integrability notion for two-dimensional spin systems. Zbl 1051.82005
Grosse, Harald; Schlesinger, Karl-Georg
2
2001
The superfield formalism applied to the noncommutative Wess-Zumino model. Zbl 0965.81117
Bichl, Andreas A.; Grimstrup, Jesper M.; Popp, Lukas; Schweda, Manfred; Grosse, Harald
3
2000
On a trialgebraic deformation of the Manin plane. Zbl 0966.58003
Grosse, Harald; Schlesinger, Karl-Georg
2
2000
On second quantization of quantum groups. Zbl 0973.81053
Grosse, Harald; Schlesinger, Karl-Georg
2
2000
Simple fuzzy (super)spaces. Zbl 1073.58500
Grosse, H.; Reiter, G.
1
2000
Generalized functions for quantum fields obeying quadratic exchange relations. Zbl 0986.81071
Grosse, H.; Oberguggenberger, M.; Todorov, I. T.
1
2000
Noncommutative geometry and the regularization problem of 4D quantum field theory. Zbl 0957.81090
Grosse, H.; Strohmaier, Alexander
24
1999
Graded differential geometry of graded matrix algebras. Zbl 0958.58004
Grosse, H.; Reiter, G.
5
1999
Geometry and quantum physics. Proceedings of the 38th internationale Universitätswochen für Kern- und Teilchenphysik, Schladming, Austria, January 9–16, 1999. Zbl 0963.00032
4
1999
A noncommutative regularization of the Schwinger model. Zbl 0920.46049
Grosse, H.; Prešnajder, P.
18
1998
The fuzzy supersphere. Zbl 0933.58002
Grosse, H.; Reiter, G.
9
1998
\(N=2\) superalgebra and non-commutative geometry. Zbl 0945.58009
Grosse, H.; Klimčík, C.; Prešnajder, P.
1
1998
Field theory on a supersymmetric lattice. Zbl 0874.46050
Grosse, H.; Klimčík, C.; Prešnajder, P.
39
1997
Particle physics and the Schrödinger equation. Zbl 0946.81003
Grosse, Harald; Martin, André
19
1997
The Luttinger-Schwinger model. Zbl 0908.58078
Grosse, Harald; Langmann, Edwin; Raschhofer, Ernst
7
1997
On finite 4D quantum field theory in non-commutative geometry. Zbl 0872.58008
Grosse, H.; Klimčík, C.; Prešnajder, P.
66
1996
Finite quantum field theory in noncommutative geometry. Zbl 0846.58015
Grosse, H.; Klimčík, C.; Prešnajder, P.
59
1996
Topologically nontrivial field configurations in noncommutative geometry. Zbl 0920.58007
Grosse, H.; Klimčík, C.; Prešnajder, P.
53
1996
Combinatorial quantization of the Hamiltonian Chern-Simons theory. II. Zbl 0842.58038
Alekseev, Anton Yu.; Grosse, Harald; Schomerus, Volker
46
1996
Simple field theoretical models on noncommutative manifolds. Zbl 0919.58005
Grosse, H.; Klimčík, C.; Prešnajder, P.
2
1996
Combinatorial quantization of the Hamiltonian Chern-Simons theory. I. Zbl 0842.58037
Alekseev, Anton Yu.; Grosse, Harald; Schomerus, Volker
60
1995
The Dirac operator on the fuzzy sphere. Zbl 0840.58011
Grosse, H.; Prešnajder, P.
57
1995
Splitting of Landau levels in the presence of external potentials. Zbl 0831.47050
Grosse, H.; Stubbe, J.
1
1995
On a quantum group invariant spin chain with non-local boundary conditions. Zbl 0850.82004
Grosse, H.; Pallua, S.; Prester, P.; Raschhofer, E.
12
1994
Unitary representations of the \(q\)-oscillator algebra. Zbl 0834.17029
Chaichian, M.; Grosse, H.; Prešnajder, P.
11
1994
On the relation between spin systems and fermion systems. Zbl 0941.82504
Grosse, H.; Popov, V. N.
2
1994
Bethe-Ansatz solution of a modified \(SU(3)-XXZ\)-model. Zbl 0860.58050
Grosse, H.; Raschhofer, E.
1
1994
The construction of noncommutative manifolds using coherent states. Zbl 0813.46065
Grosse, H.; Prešnajder, P.
44
1993
Schwinger terms and cyclic cohomology for massive 1+1-dimensional fermions and Virasoro algebras. Zbl 0791.58021
Grosse, Harald; Maderner, Walter; Reitberger, Christian
1
1993
Novel symmetry of non-Einsteinian gravity in two dimensions. Zbl 0764.53052
Grosse, Harald; Kummer, Wolfgang; Prešnajder, Peter; Schwarz, Dominik J.
13
1992
The geometric phase and the Schwinger term in some models. Zbl 0972.81636
Grosse, H.; Langmann, E.
3
1992
On current superalgebras and super-Schwinger terms. Zbl 0726.17006
Grosse, H.; Langmann, E.
3
1991
On quantum holonomy for mixed states. Zbl 0734.46046
Dabrowski, L.; Grosse, H.
12
1990
The symmetry of the Hubbard model. Zbl 0704.60106
Grosse, H.
9
1989
A supersymmetric generalization of von Neumann’s theorem. Zbl 0639.17013
Grosse, H.; Pittner, L.
3
1988
Groups of automorphisms of the canonical commutation and anticommutation relations. Zbl 0655.46061
Grosse, H.; Pittner, L.
2
1988
Witten index, axial anomaly, and Krein’s spectral shift function in supersymmetric quantum mechanics. Zbl 0643.47005
Bollé, D.; Gesztesy, F.; Grosse, H.; Schweiger, W.; Simon, B.
32
1987
Supersymmetric quantum mechanics defined as sesquilinear forms. Zbl 0636.46068
Grosse, H.; Pittner, L.
13
1987
Quantization of fermions interacting with point-like external fields. Zbl 0635.46063
Falkensteiner, P.; Grosse, H.
10
1987
Krein’s spectral shift function and Fredholm determinants as efficient methods to study supersymmetric quantum mechanics. Zbl 0626.46062
Bollé, D.; Gesztesy, F.; Grosse, H.; Simon, B.
4
1987
Implementability of gauge transformations and quantization of fermions in external fields. Zbl 0622.46054
Grosse, H.; Karner, G.
3
1987
Unitary implementability of gauge transformations for the Dirichlet operator and the Schwinger term. Zbl 0663.35072
Falkensteiner, P.; Grosse, H.
2
1987
On nonlocal point interactions in one, two, and three dimensions. Zbl 0585.47038
Dabrowski, L.; Grosse, H.
10
1985
First-order relativistic corrections and spectral concentration. Zbl 0595.47007
Gesztesy, F.; Grosse, H.; Thaller, B.
4
1985
A rigorous approach to relativistic corrections of bound state energies for spin-1/2 particles. Zbl 0534.46053
Gesztesy, F.; Grosse, H.; Thaller, B.
22
1984
Solitons of the modified KdV equation. Zbl 0557.35117
Grosse, H.
5
1984
On bound state solutions for certain nonlinear Schrödinger equations. Zbl 0557.35030
Efinger, H. J.; Grosse, H.
1
1984
Time delay for long-range interactions. Zbl 0517.47007
Bolle, D.; Gesztesy, F.; Grosse, H.
9
1983
Bounds on the number of eigenvalues of the Schrödinger operator. Zbl 0373.35050
Glaser, V.; Grosse, H.; Martin, A.
21
1978
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Cited by 936 Authors

55 Grosse, Harald
33 Steinacker, Harold
32 Wulkenhaar, Raimar
31 Rivasseau, Vincent
20 Gesztesy, Fritz
20 Wallet, Jean-Christophe
17 Gurau, Razvan Gheorghe
13 Prešnajder, Peter
12 Tanasă, Adrian
11 Arai, Asao
11 Ben Geloun, Joseph
11 Langmann, Edwin
11 Ydri, Badis
10 Carey, Alan L.
9 Balachandran, Aiyalam P.
9 Fatollahi, Amir H.
9 Lechner, Gandalf
9 Lotfizadeh, M.
9 O’Connor, Denjoe
9 Sako, Akifumi
9 Sukochev, Fedor Anatol’evich
9 Szabo, Richard J.
8 Brzeziński, Tomasz
8 Hasebe, Kazuki
8 Hock, Alexander
8 Meusburger, Catherine
8 Much, Albert
8 Pérez Sánchez, Carlos Ignacio
7 Dabrowski, Ludwik
7 de Goursac, Axel Marcillaud
7 Khorrami, Mohammad
7 Kummer, Wolfgang
7 Vignes-Tourneret, Fabien
7 Wang, Zhituo
7 Yin, Jia
6 Covei, Dragoş-Pătru
6 Levitina, Galina Borisovna
6 Livine, Etera R.
6 Lombard, R. J.
6 Manolakos, George
6 Ramgoolam, Sanjaye
6 Simon, Barry
6 Vaidya, Sachindeo
6 Vassilevich, Dmitri V.
6 Zoupanos, George
5 Blaschke, Daniel N.
5 Chaichian, Masud
5 Fiore, Gaetano
5 Frank, Rupert L.
5 Glaser, Lisa
5 Kaad, Jens
5 Klimčík, Ctirad
5 Kürkçüoğlu, Seçkin Kin
5 Madore, John
5 Potapov, Denis
5 Schenkel, Alexander
5 Schroers, Bernd J.
5 Shariati, Ahmad
5 Tanimoto, Yoh
5 Wohlgenannt, Michael
4 Bao, Weizhu
4 Bieliavsky, Pierre
4 Branahl, Johannes
4 Burić, Maja
4 Chakraborty, Biswajit
4 Dëmichev, A. P.
4 Feng, Yue
4 Hajac, Piotr M.
4 Ighezou, F-Z
4 Kováčik, Samuel
4 Landi, Giovanni
4 Magnen, Jacques
4 Majid, Shahn
4 Manousselis, Pantelis
4 Minic, Djordje
4 Nair, V. Parameswaran
4 Noui, Karim
4 Oriti, Daniele
4 Osei, Prince K.
4 Rieffel, Marc A.
4 Sämann, Christian
4 Sitarz, Andrzej
4 Sperling, Marcus
4 Tekel, Juraj
4 Tiedra de Aldecoa, Rafael
4 Uhlmann, Armin
4 Valtancoli, Paolo
4 van Suijlekom, Walter Daniël
4 Varshovi, Amir Abbass
4 Vitale, Patrizia
3 Acharyya, Nirmalendu
3 Alekseev, Anton Yur’evich
3 Aschieri, Paolo
3 Bonzom, Valentin
3 Buchbinder, Ioseph L.
3 Calderón Martín, Antonio Jesús
3 Carow-Watamura, Ursula
3 D’Andrea, Francesco
3 de Woul, Jonas
3 Delgadillo-Blando, Rodrigo
...and 836 more Authors
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Cited in 128 Serials

99 Journal of Mathematical Physics
92 Journal of High Energy Physics
86 Nuclear Physics. B
76 Communications in Mathematical Physics
42 International Journal of Modern Physics A
35 Letters in Mathematical Physics
31 Journal of Geometry and Physics
25 Journal of Physics A: Mathematical and Theoretical
19 Annales Henri Poincaré
18 Physics Letters. B
14 Modern Physics Letters A
14 Reviews in Mathematical Physics
13 Classical and Quantum Gravity
13 Physics Letters. A
13 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
12 International Journal of Geometric Methods in Modern Physics
11 The European Physical Journal C. Particles and Fields
10 Journal of Mathematical Analysis and Applications
10 Journal of Noncommutative Geometry
9 Theoretical and Mathematical Physics
9 Fortschritte der Physik
9 Journal of Functional Analysis
9 Annals of Physics
8 General Relativity and Gravitation
7 Reports on Mathematical Physics
7 Advances in Mathematics
6 International Journal of Theoretical Physics
5 Journal of Differential Equations
5 Transactions of the American Mathematical Society
4 Journal of Statistical Physics
4 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Nuclear Physics. B. Proceedings Supplements
4 Journal of Mathematical Sciences (New York)
4 Foundations of Physics
3 Journal d’Analyse Mathématique
3 Physics Reports
3 Duke Mathematical Journal
3 Integral Equations and Operator Theory
3 Communications in Partial Differential Equations
3 International Journal of Modern Physics D
3 Mathematical Physics, Analysis and Geometry
3 Algebras and Representation Theory
3 Living Reviews in Relativity
3 Physical Review Letters
3 Journal of Nonlinear Mathematical Physics
3 Oberwolfach Reports
3 Advances in Mathematical Physics
3 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
2 International Journal of Modern Physics B
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Applied Mathematics and Computation
2 Journal für die Reine und Angewandte Mathematik
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Applied Mathematics Letters
2 Journal of Scientific Computing
2 Linear Algebra and its Applications
2 Vietnam Journal of Mathematics
2 Journal of Statistical Mechanics: Theory and Experiment
2 Operators and Matrices
2 Chinese Journal of Physics (Taipei)
2 Symmetry
2 Axioms
1 Computers & Mathematics with Applications
1 Discrete Mathematics
1 European Journal of Physics
1 Journal of Computational Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physica A
1 Reviews of Modern Physics
1 Ukrainian Mathematical Journal
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica
1 Acta Mathematica Vietnamica
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Calcolo
1 Compositio Mathematica
1 Indiana University Mathematics Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Inventiones Mathematicae
1 Journal of Algebra
1 Journal of Computational and Applied Mathematics
1 Journal of Pure and Applied Algebra
1 Mathematische Nachrichten
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Results in Mathematics
1 Synthese
1 Advances in Applied Mathematics
1 Physica D
1 Applied Numerical Mathematics
1 Numerical Methods for Partial Differential Equations
1 Differential Geometry and its Applications
1 Numerical Algorithms
1 Expositiones Mathematicae
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Journal of Knot Theory and its Ramifications
...and 28 more Serials
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Cited in 55 Fields

667 Quantum theory (81-XX)
171 Relativity and gravitational theory (83-XX)
126 Global analysis, analysis on manifolds (58-XX)
119 Functional analysis (46-XX)
101 Partial differential equations (35-XX)
91 Differential geometry (53-XX)
76 Operator theory (47-XX)
66 Nonassociative rings and algebras (17-XX)
58 Statistical mechanics, structure of matter (82-XX)
48 Associative rings and algebras (16-XX)
38 Algebraic geometry (14-XX)
25 Manifolds and cell complexes (57-XX)
25 Mechanics of particles and systems (70-XX)
20 Topological groups, Lie groups (22-XX)
18 Dynamical systems and ergodic theory (37-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
17 Numerical analysis (65-XX)
16 Ordinary differential equations (34-XX)
15 Combinatorics (05-XX)
15 Group theory and generalizations (20-XX)
14 Several complex variables and analytic spaces (32-XX)
11 Category theory; homological algebra (18-XX)
10 General topology (54-XX)
10 Probability theory and stochastic processes (60-XX)
9 Algebraic topology (55-XX)
8 Real functions (26-XX)
8 Statistics (62-XX)
6 Mathematical logic and foundations (03-XX)
6 \(K\)-theory (19-XX)
6 Special functions (33-XX)
5 Functions of a complex variable (30-XX)
5 Difference and functional equations (39-XX)
4 General and overarching topics; collections (00-XX)
4 General algebraic systems (08-XX)
4 Number theory (11-XX)
4 Integral equations (45-XX)
3 History and biography (01-XX)
3 Sequences, series, summability (40-XX)
3 Geometry (51-XX)
3 Fluid mechanics (76-XX)
3 Astronomy and astrophysics (85-XX)
2 Integral transforms, operational calculus (44-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Optics, electromagnetic theory (78-XX)
2 Information and communication theory, circuits (94-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Convex and discrete geometry (52-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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