Adjoint modes as probes of gauge field structure

TL;DR

This paper introduces a method using adjoint Dirac operator zero-modes to estimate gauge field action density, effectively revealing topological structures while reducing ultraviolet noise influence.

Contribution

It presents a novel approach leveraging supersymmetric zero-modes to probe gauge field topology with improved stability against UV fluctuations.

Findings

Effective topological structure detection in gauge theories

Reduced sensitivity to ultraviolet fluctuations

Utilization of supersymmetric zero-modes

Abstract

We show how zero-modes and quasi-zero-modes of the Dirac operator in the adjoint representation can be used to construct an estimate of the action density distribution of a pure gauge field theory, which is less sensitive to the ultraviolet fluctuations of the field. This can be used to trace the topological structures present in the vacuum. The construction relies on the special properties satisfied by the supersymmetric zero-modes.