Exact solution of the \(\Phi_2^3\) finite matrix model

DOI10.1016/j.nuclphysb.2022.115892zbMath1500.81060arXiv2205.15798OpenAlexW4283700951MaRDI QIDQ2159785

Naoyuki Kanomata, Akifumi Sako

Publication date: 2 August 2022

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.15798

Mathematics Subject Classification ID

Measures of association (correlation, canonical correlation, etc.) (62H20) Compact Riemann surfaces and uniformization (30F10) Planar graphs; geometric and topological aspects of graph theory (05C10) Feynman diagrams (81T18) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20) Matrix models and tensor models for quantum field theory (81T32)

Related Items (2)

Exact solutions v.s. perturbative calculations of finite \(\Phi^3\)-\(\Phi^4\) hybrid-matrix-model ⋮ Approximate treatment of noncommutative curvature in quartic matrix model

Cites Work

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• Renormalization of the noncommutative \(\phi^3\) model through the Kontsevich model
• Exact renormalization of a noncommutative \(\phi^3\) model in 6 dimensions
• Intersection theory on the moduli space of curves and the matrix Airy function
• Exact solution of matricial \(\Phi_2^3\) quantum field theory
• The \(\Phi_4^3\) and \(\Phi_6^3\) matricial QFT models have reflection positive two-point function
• Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base
• Blobbed topological recursion of the quartic Kontsevich model. I: Loop equations and conjectures
• Self-dual noncommutative \(\phi^4\)-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory
• Combinatorics of partial derivatives
• PROPERTIES OF HERMITIAN MATRIX MODELS IN AN EXTERNAL FIELD
• Differential Operators on a Semisimple Lie Algebra
• Matrix Field Theory
• On some integrals over theU(N) unitary group and their largeNlimit
• The planar approximation. II
• Blobbed topological recursion: properties and applications

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