Mass generation in the large \(N\) Gross-Neveu-model

DOI10.1007/BF02101599zbMath0824.46090OpenAlexW2093945965MaRDI QIDQ1894856

Vincent Rivasseau, Jacques Magnen, Christoph Kopper

Publication date: 22 August 1995

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02101599

zbMATH Keywords

boundary conditionspure phasesfermion two-point functioninfrared behaviour of the Euclidean Gross-Neveu-Model with discrete chiral symmetryUV-cutoff

Mathematics Subject Classification ID

Model quantum field theories (81T10) Applications of functional analysis in quantum physics (46N50)

Related Items (14)

A stochastic PDE approach to large N problems in quantum field theory: A survey ⋮ Unnamed Item ⋮ The \(1/N\)-expansion as a perturbation about the mean field theory: A one-dimensional Fermi model ⋮ Mass generation in a fermionic model with finite range time dependent interactions ⋮ Quantum field theory in the large \(N\) limit: a review ⋮ A new perturbative expansion for fermionic functional integrals ⋮ Constructive field theory and applications: Perspectives and open problems ⋮ A complete renormalization group trajectory between two fixed points ⋮ Central limit theorem for exponentially quasi-local statistics of spin models on Cayley graphs ⋮ One-loop beta functions for the orientable non-commutative Gross-Neveu model ⋮ Noncommutative induced gauge theory ⋮ A simple method for correlation functions via the effective actions in the renormalization group framework ⋮ An Explicit Large Versus Small Field Multiscale Cluster Expansion ⋮ Large-field versus small-field expansions and Sobolev inequalities.

Cites Work

• Large field renormalization. II: Localization, exponentiation, and bounds for the \({\mathbb{R}}\) operation
• Grad \(\phi\) perturbations of massless Gaussian fields
• A renormalizable field theory: The massive Gross-Neveu model in two dimensions
• Phase transitions for \(\phi_2^4\) quantum fields
• Functional analysis and probability theory
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