Study of the topological vacuum structure of SU(2) gluodynamics at T > 0 with overlap fermions and improved action

TL;DR

This paper investigates the topological vacuum structure of SU(2) gluodynamics at finite temperature near the deconfining transition using improved lattice actions and overlap fermions, revealing temperature-dependent topological susceptibility and eigenmode localization.

Contribution

It introduces a detailed analysis of vacuum topology in SU(2) gluodynamics at finite temperature employing overlap fermions and improved actions, highlighting new temperature-dependent spectral and localization properties.

Findings

Topological susceptibility varies across the phase transition.

Overlap fermion spectral density depends on the Polyakov loop above T_c.

Localization properties of low eigenmodes are temperature-dependent.

Abstract

We study SU(2) gluodynamics at finite temperature near the deconfining phase transition. We create the lattice ensembles using the tadpole improved Luscher-Weisz action. The 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.