Zamolodchikov's c-function for the Chiral Gross-Neveu Model

TL;DR

This paper constructs the Zamolodchikov c-function for the Chiral Gross-Neveu Model up to two loops, demonstrating its behavior between critical points and confirming the absence of other critical points in the studied region.

Contribution

It provides a two-loop construction of the c-function for the Chiral Gross-Neveu Model and analyzes its properties across different critical points.

Findings

The c-function interpolates between known critical points.

It is stationary at the critical points.

The c-function decreases with the running coupling.

Abstract

We construct the Zamolodchikov's c-function for the Chiral Gross-Neveu Model up to two loops. We show that the c-function interpolates between the two known critical points of the theory, it is stationary at them and it decreases with the running coupling constant. In particular one can infer the non-existence of additional critical points in the region under investigation.