Nambu-Jona-Lasinio Model and Deconstructed Dimension

TL;DR

This paper explores how a Nambu-Jona-Lasinio model with a deconstructed mass matrix can generate a dynamical fermion mass spectrum, revealing new insights into strong coupling effects in deconstructed dimensions.

Contribution

It introduces two models integrating deconstruction-inspired mass matrices into the NJL framework, demonstrating dynamical mass generation in strong coupling regimes.

Findings

Dynamical fermion mass spectrum generated in strong coupling

Models incorporate deconstruction-inspired mass matrices

Mass generation occurs without explicit mass terms

Abstract

The Nambu-Jona-Lasinio model with the mass matrix which appears in a deconstruction model is investigated. We consider two models. In Model A, a mass matrix belonging to a type used in dimensional deconstruction is introduced. In Model B, the four-fermion interaction has a structure of the matrix of the type of dimensional deconstruction. In these models, we find that generation of a dynamical fermion mass spectrum occurs in a strong coupling case.