Modified SO(3) Lattice Gauge Theory at non zero T with Parallel Tempering: Monopole and Vortex Condensation

TL;DR

This paper investigates the deconfinement transition in SO(3) lattice gauge theory near the continuum limit, using parallel tempering to overcome tunnelling barriers, and analyzes monopole and vortex condensation as order parameters.

Contribution

It introduces a modified SO(3) lattice gauge theory approach with parallel tempering to improve ergodicity and provides detailed analysis of monopole and vortex condensation across the phase transition.

Findings

Parallel tempering effectively overcomes tunnelling barriers.

Monopole and vortex free energies serve as order parameters.

The study clarifies the definition of order parameters for adjoint actions.

Abstract

The deconfinement transition is studied close to the continuum limit of SO(3) lattice gauge theory. High barriers for tunnelling among different twist sectors causing loss of ergodicity for local update algorithms are circumvented by means of parallel tempering. We compute monopole and center vortex free energies both within the confining phase and through the deconfinement transition. We discuss in detail the general problem of defining order parameters for adjoint actions.