Found 114 Documents (Results 1–100)
A microlocal investigation of stochastic partial differential equations for spinors with an application to the Thirring model. (English) Zbl 07909899
Causal perturbative QED and white noise. (English. Russian original) Zbl 1535.81187
Theor. Math. Phys. 218, No. 3, 483-502 (2024); translation from Teor. Mat. Fiz. 218, No. 3, 559-585 (2024).
Unitary, anomalous master Ward identity and its connections to the Wess-Zumino condition, BV formalism and \(L_{\infty}\)-algebras. (English) Zbl 07837863
The physical interpretation of point interactions in one-dimensional relativistic quantum mechanics. (English) Zbl 1542.81009
Hopf monoids, permutohedral cones, and generalized retarded functions. (English) Zbl 1523.18020
Reviewer: Hirokazu Nishimura (Tsukuba)
Quantum general covariance. (English) Zbl 1532.83110
The adjoint braid arrangement as a combinatorial Lie algebra via the Steinmann relations. (English) Zbl 1509.18023
Reviewer: Hirokazu Nishimura (Tsukuba)
The unitary master Ward identity: time slice axiom, Noether’s theorem and anomalies. (English) Zbl 1520.46037
Bogoliubov’s causal perturbative QED and white noise. Interacting fields. (English. Russian original) Zbl 1519.81401
Theor. Math. Phys. 211, No. 3, 775-816 (2022); translation from Teor. Mat. Fiz. 211, No. 3, 394-443 (2022); erratum ibid. 212, No. 3, 1312-1314 (2022).
From iterated integrals and chronological calculus to Hopf and Rota-Baxter algebras. (English) Zbl 1493.16029
Makhlouf, Abdenacer (ed.), Algebra and applications 2. Combinatorial algebra and Hopf algebras. London: ISTE; Hoboken, NJ: John Wiley & Sons. Sciences, 55-118 (2021).
Infrared problem in perturbative quantum field theory. (English) Zbl 1508.81939
Reviewer: Alex B. Gaina (Chişinău)
Algebraic approach to Bose-Einstein condensation in relativistic quantum field theory: spontaneous symmetry breaking and the Goldstone theorem. (English) Zbl 1461.81070
Renormalization of Feynman amplitudes on manifolds by spectral zeta regularization and blow-ups. (English) Zbl 1460.81061
Perturbative algebraic quantum field theory on quantum spacetime: adiabatic and ultraviolet convergence. (English) Zbl 1460.81047
Reviewer: Daniel Beltiţă (Bucureşti)
Renormalization and periods in perturbative algebraic quantum field theory. (English) Zbl 1444.81025
Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 345-376 (2020).
Perturbative quantum field theory meets number theory. (English) Zbl 1444.81029
Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 1-28 (2020).
A \(\mathrm{C}^*\)-algebraic approach to interacting quantum field theories. (English) Zbl 1447.81155
Background independence in gauge theories. (English) Zbl 1436.83032
Reviewer: Farhang Loran (Isfahan)
Equilibrium states in thermal field theory and in algebraic quantum field theory. (English) Zbl 1431.81114
Relating nets and factorization algebras of observables: free field theories. (English) Zbl 1461.81086
Reviewer: J. M. Hoff da Silva (Guaratinguetá)
Locality and causality in perturbative algebraic quantum field theory. (English) Zbl 1473.81120
Reviewer: Sylvie Paycha (Potsdam)
Anomalies in time-ordered products and applications to the BV-BRST formulation of quantum gauge theories. (English) Zbl 1431.83066
An algebraic formulation of the locality principle in renormalisation. (English) Zbl 1467.81074
Reviewer: Loïc Foissy (Calais)
The role of positivity and causality in interactions involving higher spin. (English) Zbl 1415.81047
String chopping and time-ordered products of linear string-localized quantum fields. (English) Zbl 1394.81151
Weak adiabatic limit in quantum field theories with massless particles. (English) Zbl 1394.81123
Reviewer: Wolfgang G. Hollik (Hamburg)
The chirality theorem. (English) Zbl 1387.81287
Ann. Henri Poincaré 19, No. 3, 843-874 (2018); correction ibid. 19, No. 10, 3239-3240 (2018).
On the stability of KMS states in perturbative algebraic quantum field theories. (English) Zbl 1386.81111
The role of “escort fields” in the relation between massless and massive vector (tensor) mesons. (English) Zbl 1390.81720
Duarte, Sergio (ed.) et al., Physical and mathematical aspects of symmetries. Proceedings of the 31st international colloquium in group theoretical methods in physics, Rio de Janeiro, Brazil, June 19–25, 2016. Cham: Springer (ISBN 978-3-319-69163-3/hbk; 978-3-319-69164-0/ebook). 305-313 (2017).
No radiative generation of Chern-Simons-like term in Lorentz-violating QED: dealing with IR divergences. (English) Zbl 1383.83166
String-localized free vector and tensor potentials for massive particles with any spin. I: Bosons. (English) Zbl 1373.81287
The generalised principle of perturbative agreement and the thermal mass. (English) Zbl 1362.81064
Reviewer: Gabor Etesi (Budapest)
Trees. (English) Zbl 1349.81125
Symanzik-Becchi-Rouet-Stora lessons on renormalizable models with broken symmetry: the case of Lorentz violation. (English) Zbl 1349.81141
Renormalization of massive Feynman amplitudes and homogeneity (based on a joint work with Raymond Stora). (English) Zbl 1349.81008
External field QED on Cauchy surfaces for varying electromagnetic fields. (English) Zbl 1350.81031
Reviewer: T. C. Mohan (Chennai)
MSC:
81V10
Quantum gravity from the point of view of locally covariant quantum field theory. (English) Zbl 1346.83001
Quantum field theory on curved spacetimes: axiomatic framework and examples. (English) Zbl 1338.81299
Reviewer: Yasuyuki Kawahigashi (Tokyo)
The extension of distributions on manifolds, a microlocal approach. (English) Zbl 1337.81098
Reviewer: Gert Roepstorff (Aachen)
A Hilbert space setting for interacting higher spin fields and the Higgs issue. (English) Zbl 1331.81178
Reviewer: Helmut Rumpf (Wien)
Remarks on local symmetry invariance in perturbative algebraic quantum field theory. (English) Zbl 1306.81137
The Epstein-Glaser causal approach to the light-front \(\mathrm{QED}_4\). II: Vacuum polarization tensor. (English) Zbl 1360.81306
The Epstein-Glaser causal approach to the light-front \(\mathrm{QED}_4\). I: Free theory. (English) Zbl 1360.81305
Improved Epstein-Glaser renormalization in \(x\)-space versus differential renormalization. (English) Zbl 1325.81117
Dimensional regularization in position space and a Forest Formula for Epstein-Glaser renormalization. (English) Zbl 1309.81173
Reviewer: T. C. Mohan (Chennai)
MSC:
81T15
On the power-counting renormalizability of a Lifshitz-type QFT in configuration space. (English) Zbl 1302.81137
Construction of KMS states in perturbative QFT and renormalized Hamiltonian dynamics. (English) Zbl 1305.82012
Commun. Math. Phys. 332, No. 3, 895-932 (2014); erratum ibid. 347, No. 2, 655-656 (2016).
Reviewer: Gert Roepstorff (Aachen)
“Tunnelling” black-hole radiation with \(\phi ^{3}\) self-interaction: one-loop computation for Rindler Killing horizons. (English) Zbl 1292.81098
Euclidean configuration space renormalization, residues and dilation anomaly. (English) Zbl 1269.81076
Dobrev, Vladimir (ed.), Lie theory and its applications in physics. IX international workshop. Based on the 9th workshop on Lie theory and its applications in physics, Varna, Bulgaria, June 20–26, 2011. Tokyo: Springer (ISBN 978-4-431-54269-8/hbk; 978-4-431-54270-4/ebook). Springer Proceedings in Mathematics & Statistics 36, 127-147 (2013).
Correlators, Feynman diagrams, and quantum no-hair in deSitter spacetime. (English) Zbl 1278.81136
Reviewer: S. Moskaliuk (Kyiv)
Batalin-Vilkovisky formalism in perturbative algebraic quantum field theory. (English) Zbl 1263.81245
Reviewer: Gert Roepstorff (Aachen)
A formulation of quantum field theory realizing a sea of interacting Dirac particles. (English) Zbl 1231.81063
Protecting the conformal symmetry via bulk renormalization on anti deSitter space. (English) Zbl 1229.83022
Localization and the interface between quantum mechanics, quantum field theory and quantum gravity. I: The two antagonistic localizations and their asymptotic compatibility. (English) Zbl 1228.81046
Time ordering and counting statistics. (English) Zbl 1202.82075
Reviewer: Gen Qi Xu (Tianjin)
MSC:
82C70
Quantum field theory on curved backgrounds. (English) Zbl 1184.81099
Bär, Christian (ed.) et al., Quantum field theory on curved spacetimes. Concepts and mathematical foundations. Extended lecture notes of the compact course quantum field theory on curved spacetimes, Potsdam, Germany, October 2007. Berlin: Springer (ISBN 978-3-642-02779-6/hbk; 978-3-642-02780-2/ebook). Lecture Notes in Physics 786, 129-155 (2009).
MSC:
81T20
The time slice axiom in perturbative quantum field theory on globally hyperbolic spacetimes. (English) Zbl 1171.81015
Localization over complex-analytic groupoids and conformal renormalization. (English) Zbl 1175.46067
Reviewer: Takahiro Sudo (Nishihara)
Renormalization: A number theoretical model. (English) Zbl 1165.81035
Reviewer: Akira Asada (Takarazuka)
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