Center-vortex dominance after dimensional reduction of SU(2) lattice gauge theory

TL;DR

This paper investigates the role of center vortices in the high-temperature phase of SU(2) gauge theory using dimensional reduction, demonstrating that center vortices dominate the vacuum structure with high numerical accuracy.

Contribution

It provides evidence for center-vortex dominance in the high-temperature phase of SU(2) gauge theory through dimensional reduction and numerical analysis.

Findings

Center vortices dominate the vacuum in the high-temperature phase.

Numerical accuracy of center-dominance is within 10%.

Study connects 3D Yang-Mills and adjoint Higgs models to 4D SU(2) theory.

Abstract

The high-temperature phase of SU(2) Yang-Mills theory is addressed by means of dimensional reduction with a special emphasis on the properties of center vortices. For this purpose, the vortex vacuum which arises from center projection is studied in pure 3-dimensional Yang-Mills theory as well as in the 3-dimensional adjoint Higgs model which describes the high temperature phase of the 4-dimensional SU(2) gauge theory. We find center-dominance within the numerical accuracy of 10%.