Universality and the QCD Anderson Transition
High Energy Physics - Lattice
2014-04-02 v2 Disordered Systems and Neural Networks
High Energy Physics - Phenomenology
High Energy Physics - Theory
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, , and find that it is compatible with that of the unitary Anderson model.
Cite
@article{arxiv.1312.1179,
title = {Universality and the QCD Anderson Transition},
author = {Matteo Giordano and Tamas G. Kovacs and Ferenc Pittler},
journal= {arXiv preprint arXiv:1312.1179},
year = {2014}
}
Comments
4 pages, 5 figures