Dirac eigenmodes at the QCD Anderson transition

Giordano, Matteo and Kovacs, T. and Pittler, F. and Ujfalusi, László and Varga, Imre (2014) Dirac eigenmodes at the QCD Anderson transition. POS - PROCEEDINGS OF SCIENCE, LATTIC. ISSN 1824-8039

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Abstract

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 eigen- modes 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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