Effective Potential of Nambu--Jona-Lasinio Model in Differential Regularization

TL;DR

This paper applies differential regularization to compute the one-loop effective potential in a bosonized Nambu--Jona-Lasinio model, deriving a regularization-independent sigma mass sum rule and demonstrating applicability to extended models with gauge fields.

Contribution

It introduces a differential regularization approach for calculating the effective potential in NJL models, including gauge extensions, and derives a regularization-independent sigma mass sum rule.

Findings

Explicit one-loop effective potential calculated.

Regularization-independent sigma mass sum rule obtained.

Method applicable to extended NJL models with gauge fields.

Abstract

The method of differential regularization is applied to calculate explicitly the one-loop effective potential of a bosonized Nambu--Jona-Lasinio model consisting of scalar and pseudoscalar fields. The regularization scheme independent relation for the $\sigma$ mass sum rule is obtained. This method can be readily applied to extended NJL models with gauge fields.