The $U_L(3) \times U_R(3)$ Extended Nambu--Jona-Lasinio Model in Differential Regularization

TL;DR

This paper applies differential regularization to compute the one-loop effective action of an extended Nambu--Jona-Lasinio model with various mesonic fields, advancing the understanding of its quantum corrections.

Contribution

It introduces a detailed calculation of the one-loop effective action for a $U_L(3) imes U_R(3)$ extended NJL model using differential regularization, a novel approach in this context.

Findings

Explicit one-loop effective action derived

Inclusion of scalar, pseudoscalar, vector, and axial vector fields

Method demonstrates effectiveness for complex mesonic models

Abstract

We employ the method of differential regularization to calculate explicitly the one-loop effective action of a bosonized $U_L(3)\times U_R(3)$ extended Nambu--Jona-Lasinio model consisting of scalar, pseudoscalar, vector and axial vector fields.