%0 Journal Article
%T The four-fermion interaction in D=2,3,4: a nonperturbative treatment
%A V. E. Rochev
%A P. A. Saponov
%J Physics
%D 1997
%I arXiv
%R 10.1142/S0217751X98001712
%X A new nonperturbative approach is used to investigate the Gross-Neveu model of four fermion interaction in the space-time dimensions 2, 3 and 4, the number $N$ of inner degrees of freedom being a fixed integer. The spontaneous symmetry breaking is shown to exist in $D=2,3$ and the running coupling constant is calculated. The four dimensional theory seems to be trivial.
%U http://arxiv.org/abs/hep-th/9710006v2