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.
Universality and the QCD Anderson Transition
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We study the Anderson-type transition previously found in the spectrum of the QCD quark Dirac operator in the high temperature, quark-gluon plasma phase. Using finite size scaling for the unfolded level spacing distribution, we show that in the thermodynamic limit there is a genuine mobility edge, where the spectral statistics changes from Poisson to Wigner-Dyson statistics in a non-analytic way. We determine the correlation length critical exponent, $\nu$, and find that it is compatible with that of the unitary Anderson model.
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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.