Gauge transformations in non-perturbative chiral gauge theories

TL;DR

This paper examines gauge transformation properties in non-perturbative lattice chiral gauge theories, providing a general framework applicable to any gauge group and index, and clarifies related issues.

Contribution

It offers a comprehensive, general analysis of gauge transformations in lattice chiral gauge theories, extending understanding across all gauge groups and indices.

Findings

Gauge transformation properties are determined generally for any gauge group.

Clarification of several related issues in lattice chiral gauge theories.

Framework applicable to all indices and gauge groups.

Abstract

We reconsider gauge-transformation properties in chiral gauge theories on the lattice observing all pertinent information and show that these properties are actually determined in a general way for any gauge group and for any value of the index. In our investigations we also clarify several related issues.