The topological structure of SU(2) gluodynamics at T > 0 : an analysis using the Symanzik action and Neuberger overlap fermions

TL;DR

This paper investigates the topological and spectral properties of SU(2) gluodynamics at finite temperature, focusing on the deconfining phase transition using improved lattice actions and overlap fermions.

Contribution

It provides a detailed analysis of topological susceptibility, spectral density, and eigenmode localization across the phase transition with novel lattice techniques.

Findings

Topological susceptibility varies across the phase transition.

Spectral density depends on the Polyakov loop above T_c.

Eigenmode localization properties change with temperature.

Abstract

We study SU(2) gluodynamics at finite temperature on both sides of the deconfining phase transition. We create the lattice ensembles using the tree-level tadpole-improved Symanzik action. The Neuberger overlap Dirac operator is used to determine the following three aspects of vacuum structure: (i) The topological susceptibility is evaluated at various temperatures across the phase transition, (ii) the overlap fermion spectral density is determined and found to depend on the Polyakov loop above the phase transition and (iii) the corresponding localization properties of low-lying eigenmodes are investigated. Finally, we compare with zero temperature results.