SO(3) Yang-Mills theory on the lattice

TL;DR

This paper explores the phase structure of pure SO(3) lattice gauge theory at various temperatures, examining symmetry breaking, order parameters, and the effects of monopole chemical potential through numerical simulations.

Contribution

It introduces a numerical investigation of SO(3) lattice gauge theory with a Z2 monopole chemical potential, analyzing phase transitions and symmetry breaking mechanisms.

Findings

Identification of different phases in SO(3) LGT

Discussion of symmetry breaking mechanisms

Existence of an order parameter for phase transition

Abstract

We numerically investigate the phase structure of pure SO(3) LGT at zero and non-zero temperature in the presence of a Z2 blind monopole chemical potential. The physical meaning of the different phases, a possible symmetry breaking mechanism as well as the existence of an order parameter for the finite temperature phase transition are discussed.