# Perturbative study for domain-wall fermions in 4+1 dimensions

## TL;DR

This paper studies a 4+1 dimensional lattice U(1) chiral gauge model using domain-wall fermions, analyzing effective actions and gauge anomalies to understand the resulting 4D theory's properties.

## Contribution

It provides a perturbative analysis of domain-wall fermions in 4+1 dimensions, focusing on gauge invariance and anomalies at the one-loop level.

## Key findings

- Gauge invariance of 2-point functions confirmed
- Identification of gauge anomalies in the model
- Detection of fermion number current anomaly

## Abstract

We investigate a U(1) chiral gauge model in 4+1 dimensions formulated on the lattice via the domain-wall method. We calculate an effective action for smooth background gauge fields at a fermion one loop level. From this calculation we discuss properties of the resulting 4 dimensional theory, such as gauge invariance of 2 point functions, gauge anomalies and an anomaly in the fermion number current.