Nambu-Jona-Lasinio model with Wilson fermions

TL;DR

This paper investigates the phase structure of a lattice Nambu-Jona-Lasinio model with Wilson fermions, aiming to understand its role in extensions of the Standard Model and dynamical symmetry breaking.

Contribution

It provides the first nonperturbative lattice study of the ungauged NJL model with Wilson fermions, exploring its phase space and potential implications for beyond Standard Model physics.

Findings

Mapped the phase diagram of the ungauged NJL model

Identified regions with different chiral symmetry behaviors

Provided insights into the model's relevance for dynamical electroweak symmetry breaking

Abstract

We present a lattice study of a Nambu Jona-Lasinio (NJL) model using Wilson fermions. Four fermion interactions are a natural part of several extensions of the Standard Model, appearing as a low energy description of a more fundamental theory. In models of dynamical electroweak symmetry breaking they are used to endow the Standard Model fermions with masses. In infrared conformal models these interaction, when sufficiently strong, can alter the dynamics of the fixed point, turning the theory into a (near) conformal model with desirable features for model building. As a first step toward the nonperturbative study of these models, we study the phase space of the ungauged NJL model.