PROOF OF CONFORMAL-INVARIANCE IN THE CRITICAL REGIME FOR MODELS OF GROSS-NEVEU TYPE

Authors
VASILEV AN DERKACHEV SE KIBEL NA STEPANENKO AS
Citation
An. Vasilev et al., PROOF OF CONFORMAL-INVARIANCE IN THE CRITICAL REGIME FOR MODELS OF GROSS-NEVEU TYPE, Theoretical and mathematical physics, 92(3), 1992, pp. 1047-1054
Citations number
19
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
92
Issue
3
Year of publication
1992
Pages
1047 - 1054
Database
ISI
SICI code
0040-5779(1992)92:3<1047:POCITC>2.0.ZU;2-9
Abstract
It is shown that for all multiplicatively renormalizable fermionic mod els without derivatives in the interaction, in particular, for the Gro ss-Neveu model, conformal invariance of the Green's functions of the f ields in the critical regime (massless model at fixed renormalization- group point) automatically follows from the scale invariance for arbit rary space dimension.