On Calculation of 1/n Expansions of Critical Exponents in the Gross-Neveu Model with the Conformal Technique

1993/02/09 by S. É. Derkachov, N. Kivel, Derkachov, S. E. +5 · 2 citations
Computer Science · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.hep-th/9302034

openalex publication_date 1993/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A proof of critical conformal invariance of Green's functions for a quite wide class of models possessing critical scale invariance is given. A simple method for establishing critical conformal invariance of a composite operator, which has a certain critical dimension, is also presented. The method is illustrated with the example of the Gross--Neveu model and the exponents \et at order 1/n³, \Dl and 1/ν at order 1/n² are calculated with the conformal bootstrap method.

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