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Dirac eigenmodes at the QCD Anderson transition

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arxiv 1410.8308 v1 pith:OX2SJHHT submitted 2014-10-30 hep-lat cond-mat.dis-nnhep-ph

classification hep-latcond-mat.dis-nnhep-ph
keywords eigenmodesandersoncriticaldiractransitionmodelpointscale
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Recently we found an Anderson-type localization-delocalization transition in the QCD Dirac spectrum at high temperature. Using spectral statistics we obtained a critical exponent compatible with that of the corresponding Anderson model. Here we study the spatial structure of the eigenmodes both in the localized and the transition region. Based on previous studies in the Anderson model, at the critical point, the eigenmodes are expected to have a scale invariant multifractal structure. We verify the scale invariance of Dirac eigenmodes at the critical point.

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  1. QCD Anderson transition with overlap valence quarks on a twisted-mass sea -- an update

    hep-lat 2025-02 conditional novelty 6.0 of 10

    New lattice data show the quark mobility edge in QCD stays near 86-88 MeV at temperatures close to the chiral transition, instead of vanishing as previously extrapolated.

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