Universality and the QCD Anderson Transition

Giordano, Matteo and Kovács, Tamás György and Pittler, Ferenc (2014) Universality and the QCD Anderson Transition. PHYSICAL REVIEW LETTERS, 112 (10). ISSN 0031-9007

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Abstract

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, ν, and find that it is compatible with that of the unitary Anderson model.

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