Spectra of Lattice Dirac Operators in Non-Trivial Topology Backgrounds

TL;DR

This paper reviews the spectra of lattice Dirac operators in non-trivial topological backgrounds, focusing on how continuum formalism translates to lattice discretizations, especially in uniform field backgrounds.

Contribution

It provides a detailed analysis of lattice Dirac operators in topologically non-trivial backgrounds, highlighting the translation of continuum formalism to lattice settings.

Findings

Spectra of lattice Dirac operators are characterized in non-trivial topologies.

The formalism for continuum backgrounds is adapted to lattice discretizations.

Insights into uniform field backgrounds on the lattice are provided.

Abstract

Dirac operators in non-trivial topology backgrounds in a finite box are reviewed. We analyze how the formalism translates to the lattice, with special emphasis on uniform field backgrounds.