Found 57 Documents (Results 1–57)
Integrability of \(\Phi^4\) matrix model as \(N\)-body harmonic oscillator system. (English) Zbl 07837885
Exact solutions v.s. perturbative calculations of finite \(\Phi^3\)-\(\Phi^4\) hybrid-matrix-model. (English) Zbl 1525.81033
A Laplacian to compute intersection numbers on \(\overline{\mathcal{M}}_{g,n}\) and correlation functions in NCQFT. (English) Zbl 1521.81185
Computing the spectral action for fuzzy geometries: from random noncommutative geometry to bi-tracial multimatrix models. (English) Zbl 1511.58002
Blobbed topological recursion of the quartic Kontsevich model. I: Loop equations and conjectures. (English) Zbl 1507.81160
Nested Catalan tables and a recurrence relation in noncommutative quantum field theory. (English) Zbl 1495.81075
Correlation functions of \(\mathrm{U}(N)\)-tensor models and their Schwinger-Dyson equations. (English) Zbl 1483.81097
Comment on “The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization”. (English) Zbl 1468.83018
Thermodynamics of quantum phase transitions of a Dirac oscillator in a homogenous magnetic field. (English) Zbl 1514.82114
Graph calculus and the disconnected-boundary Schwinger-Dyson equations of quartic tensor field theories. (English) Zbl 1457.81090
Gauge theories on \(\kappa\)-Minkowski spaces: twist and modular operators. (English) Zbl 1437.83041
Solution of the self-dual \(\Phi^4\) QFT-model on four-dimensional Moyal space. (English) Zbl 1434.81046
Quantum field theory on noncommutative spaces. (English) Zbl 1482.81038
Chamseddine, Ali (ed.) et al., Advances in noncommutative geometry. Based on the noncommutative geometry conference, Shanghai, China, March 23 – April 7, 2017. On the occasion of Alain Connes’ 70th Birthday. Cham: Springer. 607-690 (2019).
Intermediate field representation for positive matrix and tensor interactions. (English) Zbl 1425.81074
Nonperturbative evaluation of the partition function for the real scalar quartic QFT on the Moyal plane at weak coupling. (English) Zbl 1421.81078
On the large \(N\) limit of Schwinger-Dyson equations of a rank-3 tensor field theory. (English) Zbl 1420.81024
How Prof. Zeidler supported our research on exact solution of quantum field theory toy models. (English) Zbl 1414.81157
Constructive tensor field theory: the \(T_{4}^{4}\) model. (English) Zbl 1417.81148
Reviewer: T. C. Mohan (Chennai)
Integrability and positivity in quantum field theory on noncommutative geometry. (English) Zbl 1404.81184
The full Ward-Takahashi identity for colored tensor models. (English) Zbl 1387.83034
Commun. Math. Phys. 358, No. 2, 589-632 (2018); corrigendum ibid. 376, No. 1, 747-751 (2020).
The \(\Phi_4^3\) and \(\Phi_6^3\) matricial QFT models have reflection positive two-point function. (English) Zbl 1380.81193
Reflection positivity. Abstracts from the workshop held November 26 – December 2, 2017. (English) Zbl 1409.00095
Closed star product on noncommutative \(\mathbb R^{3}\) and scalar field dynamics. (English) Zbl 1388.83538
Invitation to random tensors. (English) Zbl 1346.83030
MSC:
83C45
String states, loops and effective actions in noncommutative field theory and matrix models. (English) Zbl 1345.81107
Constructive tensor field theory: the \({T^4_3}\) model. (English) Zbl 1345.81073
Reviewer: Gabor Etesi (Budapest)
Noncommutative gauge theories on \( {{\mathbb{R}}}_{\lambda}^3 \): perturbatively finite models. (English) Zbl 1387.81266
Renormalization of an abelian tensor group field theory: solution at leading order. (English) Zbl 1388.83127
MSC:
83C45
Enhancing non-melonic triangulations: a tensor model mixing melonic and planar maps. (English) Zbl 1329.81258
Parametric representation of rank \(d\) tensorial group field theory: abelian models with kinetic term \(\sum_s \left|p_s\right| + \mu\). (English) Zbl 1322.83011
Self-dual noncommutative \(\phi^4\)-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory. (English) Zbl 1305.81129
Reviewer: Vida Milani (North Logan)
Noncommutative gauge theories on \( \mathbb{R}_{\theta}^2 \) as matrix models. (English) Zbl 1342.81309
Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences. (English) Zbl 1342.81631
MSC:
81T75
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