Regularization parameter independent analysis in Nambu-Jona-Lasinio model

TL;DR

This paper demonstrates a regularization parameter independent analysis of the Nambu-Jona-Lasinio model at leading order in 1/Nc expansion, addressing its nonrenormalizability and dependence on regularization schemes.

Contribution

It introduces a method to achieve regularization parameter independence in the NJL model at leading order in 1/Nc expansion.

Findings

Finite results in four-dimensional limit.

Regularization parameter independence established.

Applicable to low energy phenomena modeling.

Abstract

Nambu-Jona-Lasinio model used to investigate low energy phenomena is nonrenormalizable, therefore the results depend on the regularization parameter in general. A possibility of the finite in four-dimensional limit and even the regularization parameter (this is dimension in the dimensional regularization scheme) independent analysis is shown in the leading order of the 1/Nc expansion.