The Physical Phase of Dimensionally Reduced Gauge Theories

TL;DR

This paper explores how the high-temperature deconfined phase of SU(2) gauge theory relates to the phases of a three-dimensional adjoint Higgs model, using simulations near physical states derived from dimensional reduction.

Contribution

It demonstrates that the physical parameters of high-temperature SU(2) gauge theory correspond to the confined phase of the three-dimensional adjoint Higgs model.

Findings

Physical points are in the confined phase of the Higgs model.

Simulations confirm the phase relationship at various temperatures.

Supports dimensional reduction as a valid approach for high-temperature gauge theories.

Abstract

We investigate the relationship between the high temperature deconfined phase of the SU(2) gauge theory to the phases of the corresponding three dimensional adjoint Higgs model. For various temperatures we simulate the effective theory in a neighbourhood of the physical states, that is of those values of the coupling constants that describe the infrared behaviour of the four dimensional theory and which have been calculated by applying dimensional reduction techniques. We show that the physical points belong to the confined phase of the SU(2) adjoint Higgs model.