Chiral Fermions from Lattice Boundaries

TL;DR

This paper presents a new lattice model where four-dimensional chiral fermions naturally emerge on boundary surfaces, offering technical improvements over previous models and potential applications in lattice QCD and chiral gauge theories.

Contribution

It introduces a novel lattice boundary construction for chiral fermions with technical advantages over existing domain wall models.

Findings

Model successfully produces chiral fermions on boundaries.

Discusses perturbation theory aspects of the model.

Explores applications in lattice QCD and chiral gauge theories.

Abstract

We construct a model in which four dimensional chiral fermions arise on the boundaries of a five dimensional lattice with free boundary conditions in the fifth direction. The physical content is similar to Kaplan's model of domain wall fermions, yet the present construction has several technical advantages. We discuss some aspects of perturbation theory, as well as possible applications of the model both for lattice QCD and for the on-going attempts to construct a lattice chiral gauge theory.