Anderson Localization in Quark-Gluon Plasma

Details Anderson Localization in Quark-Gluon Plasma Anderson Localization in Quark-Gluon Plasma

2010-06-07

arxiv.org/abs/1006.1205v1

Phys.Rev.Lett.105:192001,2010

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, 8 figures

Scientific paper

10.1103/PhysRevLett.105.192001

At low temperature the low end of the QCD Dirac spectrum is well described by chiral random matrix theory. In contrast, at high temperature there is no similar statistical description of the spectrum. We show that at high temperature the lowest part of the spectrum consists of a band of statistically uncorrelated eigenvalues obeying essentially Poisson statistics and the corresponding eigenvectors are extremely localized. Going up in the spectrum the spectral density rapidly increases and the eigenvectors become more and more delocalized. At the same time the spectral statistics gradually crosses over to the bulk statistics expected from the corresponding random matrix ensemble. This phenomenon is reminiscent of Anderson localization in disordered conductors. Our findings are based on staggered Dirac spectra in quenched SU(2) lattice simulations.

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