Localization properties of Dirac modes at the Roberge-Weiss phase transition

Abstract

We study the localization properties of the low-lying Dirac eigenmodes in QCD at imaginary chemical potential ${\hat{\mu }}_I=\pi$ at temperatures above the Roberge-Weiss transition temperature $T_{\mathrm{RW}}$. We find that modes are localized up to a temperature-dependent "mobility edge" and delocalized above it, and that the mobility edge extrapolates to zero at a temperature compatible with $T_{\mathrm{RW}}$. This supports the existence of a strong connection between localization of the low Dirac modes and deconfinement, studied here for the first time in a model with a genuine deconfinement transition in the continuum limit in the presence of dynamical fermions.

Comments: 8 pages, 5 figures