Domain wall fermions and applications

TL;DR

This paper discusses domain wall fermions, an approach that introduces an extra dimension to improve chiral symmetry and topological properties in lattice theories, with applications in QCD, super Yang-Mills, and four-fermion theories.

Contribution

It provides an overview of domain wall fermions, highlighting their advantages in controlling chiral symmetry and their applications in various quantum field theories.

Findings

Enhanced chiral symmetry in lattice theories

Robust topological zero modes achieved

Applications demonstrated in QCD and super Yang-Mills

Abstract

Domain wall fermions provide a complimentary alternative to traditional lattice fermion approaches. By introducing an extra dimension, the amount of chiral symmetry present in the lattice theory can be controlled in a linear way. This results in improved chiral properties as well as robust topological zero modes. A brief introduction on the subject and a discussion of chiral properties and applications, such as zero and finite temperature QCD, N = 1 super Yang-Mills, and four-fermion theories, is presented.