Chiral gauge theories on the lattice and restoration of gauge symmetry

TL;DR

This paper explores a lattice construction for chiral gauge theories using staggered fermions, focusing on restoring gauge invariance dynamically to achieve continuum models with chiral fermions.

Contribution

It proposes a method to restore gauge invariance in lattice chiral gauge theories with staggered fermions, potentially enabling consistent continuum limits.

Findings

Gauge invariance can be dynamically restored if symmetry breaking is mild.

The approach offers a pathway to construct chiral gauge theories on the lattice.

Potential for continuum limit to yield gauge-invariant chiral models.

Abstract

We investigate a proposal for the construction of models with chiral fermions on the lattice using staggered fermions. In this approach the gauge invariance is broken by the coupling of the staggered fermions to the gauge fields. We aim at a dynamical restoration of the gauge invariance in the full quantum model. If the gauge symmetry breaking (SB) is not too severe, this procedure could lead in the continuum limit to the desired gauge invariant chiral gauge theory.