Published March 1986 | Version v1
Journal article

Extension of the Gross-Neveu model to the case of several coupling constants

  • 1. Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Serpukhov. Inst. Fiziki Vysokikh Ehnergij

Description

Two-dimensional massless four-fermion theory with several coupling constants in 1/N approximation is considered. The model is asymptotically free. In this model, dynamic violation of chiral invariance takes place and fermions acquire nonzero masses at any values of coupling constants. Two different phases with massive fermions are shown to exist. The necessary and sufficient conditions for the theory to have no ghosts are found. In the leading order in 1/N, bosons with two different masses are present in the theory

Additional details

Additional titles

Original title (Russian)
Обобщение модели Гросса-Неве на случай нескольких констант связи

Publishing Information

Journal Title
Teor. Mat. Fiz.
Journal Volume
66
Journal Issue
3
Series
Teor. Mat. Fiz.
Journal Page Range
381-391
ISSN
0564-6162
CODEN
TMFZA

Optional Information

Notes
For English translation see the journal Theoretical and Mathematical Physics (USA).