# Two-dimensional model of dynamical fermion mass generation in strongly coupled gauge theories

## TL;DR

This paper introduces a lattice model combining gauge and scalar fields to study dynamical fermion mass generation, showing it shares universality with the Gross-Neveu model and is renormalizable and asymptotically free.

## Contribution

It generalizes the Schwinger model by adding a scalar field, demonstrating the model's universality class and its renormalizability at strong coupling through numerical analysis.

## Key findings

- Fermion mass scaling matches the Gross-Neveu model.
- The model is in the same universality class as the Gross-Neveu model.
- The model is renormalizable and asymptotically free at strong coupling.

## Abstract

We generalize the $N_F=2$ Schwinger model on the lattice by adding a charged scalar field. In this so-called $\chi U\phi_2$ model the scalar field shields the fermion charge, and a neutral fermion, acquiring mass dynamically, is present in the spectrum. We study numerically the mass of this fermion at various large fixed values of the gauge coupling by varying the effective four-fermion coupling, and find an indication that its scaling behavior is the same as that of the fermion mass in the chiral Gross-Neveu model. This suggests that the $\chi U\phi_2$ model is in the same universality class as the Gross-Neveu model, and thus renormalizable and asymptotic free at arbitrary strong gauge coupling.