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Localization properties of Dirac modes at the Roberge-Weiss phase transition
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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 $T_{\rm RW}$. 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 $T_{\rm RW}$. 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.
Forward citations
Cited by 2 Pith papers
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Dirac mode localization in QCD near the crossover temperature
Low-lying Dirac modes in QCD localize at Tloc ≈ 155–158 MeV, the same temperature range as the chiral crossover.
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Localization of Dirac modes in a finite temperature SU(2) Higgs model
Dirac modes are localized in the Polyakov-loop ordered phases (deconfined and Higgs) of the finite-temperature SU(2)-Higgs model and delocalized in the confined phase, consistent with the sea/islands picture.
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