On Calculation of $2+\veps$ RG Functions in the Gross Neveu Model from Large $N$ Expansions of Critical Exponents

TL;DR

This paper derives higher-loop renormalization group functions in the Gross Neveu model using large N expansions of critical exponents, advancing theoretical understanding of the model's behavior.

Contribution

It introduces a method to calculate 4- and 5-loop RG functions in the Gross Neveu model based on large N critical exponent expansions.

Findings

RG functions obtained at 4- and 5-loop levels

Enhanced understanding of the Gross Neveu model's RG behavior

Method applicable to other models with large N expansions

Abstract

Using knowledge of the explicit $n$ dependence of the RG functions and expressions of critical exponents in the framework of large $N$ expansion in the Gross Neveu model we derive RG functions in 4- and 5-loop approximation.