# Ideal Walking Dynamics via a Gauged NJL Model

## TL;DR

This study uses lattice simulations to explore an $SU(2)$ gauged NJL model, demonstrating how strong four-fermion interactions can induce a transition from conformal to chiral symmetry breaking, realizing the Ideal Walking scenario.

## Contribution

First explicit lattice realization of the Ideal Walking scenario showing the variation of the mass anomalous dimension with NJL coupling.

## Key findings

- Infrared conformal phase at small NJL coupling
- Chirally broken phase at large NJL coupling
- Mass anomalous dimension reaches ~1 near transition

## Abstract

According to the Ideal Walking Technicolor paradigm large mass anomalous dimensions arise in gauged Nambu--Jona-Lasinio (NJL) models when the four-fermion coupling is sufficiently strong to induce spontaneous symmetry breaking in an otherwise conformal gauge theory. We therefore study the $SU(2)$ gauged NJL model with two adjoint fermions using lattice simulations. The model is in an infrared conformal phase at small NJL coupling while it displays a chirally broken phase at large NJL couplings. In the infrared conformal phase we find that the mass anomalous dimension varies with the NJL coupling reaching $\gamma_m \sim 1$ close to the chiral symmetry breaking transition, de facto making the present model the first explicit realization of the Ideal Walking scenario.