# A Holographic Study of the Gauged NJL Model

## TL;DR

This paper investigates how the inclusion of NJL interactions affects chiral phase transitions in non-abelian gauge theories using holographic models, revealing a crossover behavior instead of a sharp transition.

## Contribution

It introduces a holographic Dynamic AdS/QCD model incorporating NJL interactions via Witten's multi-trace prescription to study chiral symmetry breaking.

## Key findings

- NJL interactions turn the phase transition into a crossover.
- The mesonic spectrum varies with NJL coupling and UV to IR scale ratio.
- The model provides insights into the interplay between gauge dynamics and four-fermion interactions.

## Abstract

The Nambu Jona-Lasinio model of chiral symmetry breaking predicts a second order chiral phase transition. If the fermions in addition have non-abelian gauge interactions then the transition is expected to become a crossover as the NJL term enhances the IR chiral symmetry breaking of the gauge theory. We study this behaviour in the holographic Dynamic AdS/QCD description of a non-abelian gauge theory with the NJL interaction included using Witten's multi-trace prescription. We study the behaviour of the mesonic spectrum as a function of the NJL coupling and the ratio of the UV cut off scale to the dynamical scale of the gauge theory.