A Class of Saddle-point Configurations in three-dimensional SU(2) Lattice Gauge Theory

TL;DR

This paper explores a specific class of smooth saddle-point configurations in three-dimensional SU(2) lattice gauge theory, revealing localized action peaks and Z(2) flux in Wilson loops, with implications for understanding gauge field structures.

Contribution

It introduces and analyzes a new class of saddle-point configurations in 3D SU(2) lattice gauge theory, highlighting their properties and measurement techniques.

Findings

Configurations are smooth and have localized action peaks.

Wilson loops around peaks show Z(2) flux.

Measurements of Creutz ratios are discussed.

Abstract

We discuss a class of saddle-point configurations in SU(2) lattice gauge theory in three Euclidean dimensions. These configurations are smooth on the scale of the lattice and have an action density exhibiting localized peaks, as has been seen in cooled and extremized Monte Carlo generated lattices. Large Wilson loops centered on the action peaks show a unit of Z(2) flux. We discuss the generation of these configurations and measurements of the Creutz ratios on them.