The Nambu-Jona-Lasinio Model at O(1/N^2)

TL;DR

This paper calculates the anomalous dimensions of fields in the Nambu-Jona-Lasinio and chiral Gross Neveu models with specific symmetries at the second order in a 1/N expansion, advancing theoretical understanding.

Contribution

It provides the anomalous dimensions at O(1/N^2) for models with U(1)×U(1) and SU(M)×SU(M) symmetries, a higher-order calculation in the 1/N expansion.

Findings

Anomalous dimensions computed at O(1/N^2) for specified models.

Extension of previous 1/N expansion results to second order.

Enhanced theoretical understanding of chiral symmetry models.

Abstract

We write down the anomalous dimensions of the fields of the Nambu--Jona-Lasinio model or chiral Gross Neveu model with a continuous global chiral symmetry for the two cases $U(1)$ $\times$ $U(1)$ and $SU(M)$ $\times$ $SU(M)$ at $O(1/N^2)$ in a $1/N$ expansion.