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.

8 pages, 5 figures

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Cited by in corpus (5)

• Eigenvalues of the QCD Dirac matrix with improved staggered quarks in the continuum limit
• Deconfinement transition and localization of Dirac modes in finite-temperature ${\mathbb{Z}}_3$ gauge theory on the lattice
• Numerical Study of the Roberge-Weiss Transition
• Localisation of Dirac modes in gauge theories and Goldstone's theorem at finite temperature
• Localisation of Dirac eigenmodes and confinement in gauge theories: the Roberge-Weiss transition