# Massless Composite Fermions in Two Dimensions and the Overlap

## TL;DR

This paper presents two two-dimensional chiral gauge models with massless composite fermions, proposing them as benchmarks for non-perturbative regulation of chiral gauge theories, and includes a numerical simulation of one model using the overlap method.

## Contribution

It introduces two new two-dimensional chiral gauge models with massless composite fermions as benchmark test-cases for non-perturbative regulation methods.

## Key findings

- Presented two models with massless composite fermions
- Applied the overlap method to one model
- Conducted a numerical simulation demonstrating feasibility

## Abstract

There exist chiral gauge models in two dimensions that have massless composite fermions. Two examples are presented and it is suggested that they be accepted as benchmark test-cases for generic proposals of non-perturbatively regulating chiral gauge theories in any dimension. We apply the overlap to the simpler of the two benchmarks and present the results of a numerical simulation of modest size.