SU(N) chiral gauge theories on the lattice: a quick overview

TL;DR

This paper presents a method to formulate SU(N) chiral gauge theories on the lattice using non-perturbative gauge fixing, addressing the Gribov problem and ensuring a local, doubler-free construction suitable for continuum limits.

Contribution

It introduces a local lattice formulation of SU(N) chiral gauge theories that handles the Gribov problem and is compatible with weak-coupling perturbation theory.

Findings

The construction is local and doubler-free.

The approach successfully deals with the Gribov problem.

Weak-coupling perturbation theory applies at the continuum limit.

Abstract

We describe how an SU(N) chiral gauge theory can be put on the lattice using non-perturbative gauge fixing. In particular, we explain how the Gribov problem is dealt with. Our construction is local, avoids doublers, and weak-coupling perturbation theory applies at the critical point which defines the continuum limit of our lattice chiral gauge theory.