Topological Effects in Matrix Models representing Lattice Gauge Theories at Large N

TL;DR

This paper revisits quenched reduction in lattice gauge theories using field-orbifolding, incorporating fermions with the overlap construction to preserve anomalies and topology at large N.

Contribution

It introduces a modern approach to quenched reduction with fermions, ensuring anomaly and topology preservation through the overlap method.

Findings

Successful inclusion of fermions in quenched reduction

Preservation of anomalies and topology after reduction

Application of the overlap construction in this context

Abstract

Quenched reduction is revisited from the modern viewpoint of field-orbifolding. Fermions are included and it is shown how the old problem of preserving anomalies and field topology after reduction is solved with the help of the overlap construction.