Renormalization Group Flow in the Cutoff Yukawa Model and a Scale Invariance in the Nambu-Jona-Lasinio Model

TL;DR

This paper studies the renormalization group flow of the Yukawa model with a fixed cutoff, revealing scale invariance in the Nambu-Jona-Lasinio model's coupling constants at leading order in 1/N.

Contribution

It demonstrates the scale invariance of the NJL model's couplings within the RG flow of the cutoff Yukawa model at leading order in 1/N.

Findings

Scale invariance of NJL model couplings shown

RG flow analysis at fixed cutoff

Leading order in 1/N approximation

Abstract

We investigate the renormalization group flow of the Yukawa model with a fixed momentum cutoff at the leading order in 1/N, where N is the number of the fermion species. We demonstrate the scale invariance of coupling constants of the Nambu-Jona-Lasinio model.