Recent developments in chiral gauge theories: Approach of infinitely many fermi fields

TL;DR

This paper reviews recent progress in lattice chiral gauge theories using infinitely many fermi fields, enabling consistent anomaly representation and potential modeling of fermion number violation in topologically non-trivial backgrounds.

Contribution

It introduces a novel approach employing infinitely many fermi fields to accurately simulate chiral gauge theories on the lattice.

Findings

Correct anomaly reproduction in the continuum limit

Unified treatment of anomalous and anomaly-free theories

Potential to model fermion number violation processes

Abstract

I present the recent developments in a specific sub-field of chiral gauge theories on the lattice. This sub-field pertains to the use of infinitely many fermi fields to describe a single chiral field. In this approach, both anomalous and anomaly free theories can be discussed in equal footing. It produces the correct anomaly in the continuum limit. It has the potential to describe fermion number violating processes in the presence of a gauge field background with non-trivial topological charge on a finite lattice.