# Simulating the massive Schwinger model with chiral defect fermions

## TL;DR

This paper demonstrates the use of a lattice simulation model with chiral defect fermions to study the massive Schwinger model, confirming that fermion mass renormalization is purely multiplicative across various gauge couplings.

## Contribution

It applies the Kaplan-Shamir lattice fermion model to simulate the massive Schwinger model and verifies the theoretical prediction of multiplicative mass renormalization.

## Key findings

- Fermion mass undergoes only multiplicative renormalization.
- The simulation results are consistent across different gauge couplings.
- The model effectively captures chiral fermion behavior on the lattice.

## Abstract

Some time ago Kaplan proposed a new model for the description of chiral fermions on the lattice by adding an extra dimension for the fermions. A variant of this proposal was introduced by Shamir and can be used to describe vector-like theories in even dimensions. We used this model for the simulation of the massive Schwinger model at different gauge couplings. The prediction that the fermion mass gets only multiplicative renormalization was tested and verified.