Anderson localization through Polyakov loops: Lattice evidence and random matrix model

Falk Bruckmann, Tamás G. Kovács, Sebastian Schierenberg

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30 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number034505
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume84
Issue number3
DOIs
Publication statusPublished - Aug 24 2011

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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