Physics of the gauged four fermi model in $(1+1)$ dimensions

TL;DR

This paper studies a two-dimensional gauged fermion model with quartic interactions, deriving analytic equations for meson states and exploring its physical properties in the large-N limit.

Contribution

It introduces a unified framework combining the 't Hooft and Gross-Neveu models with arbitrary couplings, providing systematic solutions for meson spectra.

Findings

Derived analytic equations for meson states.

Solved meson equations using multiple methods.

Explored the physical implications of the model.

Abstract

We analyze a two dimensional model of gauged fermions with quartic couplings in the large-N limit. This combines the 't Hooft model and the Gross-Neveu model where the coupling constants of both theories are arbitrary. Analytic equations describing the meson states of the theory are derived and are solved systematically using various methods. The physics of the model is investigated.