Chiral gauge theories on the lattice without gauge fixing?

TL;DR

This paper explores two lattice formulations for chiral gauge theories that break gauge symmetry during regularization, aiming for symmetry restoration in the continuum limit to achieve accurate non-perturbative models.

Contribution

It introduces and analyzes two novel proposals for formulating chiral gauge theories on the lattice without gauge fixing, focusing on dynamical symmetry restoration.

Findings

Gauge symmetry breaking can be controlled and potentially restored in the continuum limit.

The proposed methods offer a pathway to non-perturbative chiral gauge theories on the lattice.

Further work is needed to confirm the effectiveness of symmetry restoration in practice.

Abstract

We discuss two proposals for a non-perturbative formulation of chiral gauge theories on the lattice. In both cases gauge symmetry is broken by the regularization. We aim at a dynamical restoration of symmetry. If the gauge symmetry breaking is not too severe this procedure could lead in the continuum limit to the desired chiral gauge theory.