Anderson localization through Polyakov loops: lattice evidence and Random matrix model

Details Anderson localization through Polyakov loops: lattice evidence and Random matrix model Anderson localization through Polyakov loops: lattice evidence and Random matrix model

2011-05-26

arxiv.org/abs/1105.5336v3

Phys.Rev.D84:034505,2011

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, 23 plots in 11 figures; some comments and references added, some axis labels corrected; journal version

Scientific paper

10.1103/PhysRevD.84.034505

We investigate low-lying fermion modes in SU(2) gauge theory at temperatures above the phase transition. Both staggered and overlap spectra reveal transitions from chaotic (random matrix) to integrable (Poissonian) behavior accompanied by an increasing localization of the eigenmodes. We show that the latter are trapped by local Polyakov loop fluctuations. Islands of such "wrong" Polyakov loops can therefore be viewed as defects leading to Anderson localization in gauge theories. We find strong similarities in the spatial profile of these localized staggered and overlap eigenmodes. We discuss possible interpretations of this finding and present a sparse random matrix model that reproduces these features.

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