Published April 8, 1985 | Version v1
Journal article

Massive gross-neveu model: A rigorous perturbative construction

  • 1. Mathematics Department, University of British Columbia, Vancouver, British Columbia, Canada V6T1Y4

Description

We consider the massive Euclidean Gross-Neveu model. Thanks to the Pauli principle the bare perturbation expansion for the model with an ultraviolet cutoff is convergent in a disk whose radius corresponds by asymptotic freedom to a small finite renormalized coupling constant. The theory constructed in this way is physical (it satisfies Osterwalder and Schrader's axioms) in contrast with the planar theories obtained by similar perturbative expansions

Additional details

Publishing Information

Journal Title
Phys. Rev. Lett.
Journal Volume
54
Journal Issue
14
Series
Phys. Rev. Lett.
Journal Page Range
1479-1481
ISSN
0031-9007

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
16072731
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
COUPLING CONSTANTS; FERMIONS; LAGRANGIAN FIELD THEORY; PERTURBATION THEORY; PHASE SPACE; PROPAGATOR; RENORMALIZATION
Descriptors DEC
FIELD THEORIES; MATHEMATICAL SPACE; QUANTUM FIELD THEORY; SPACE