Bruckmann, Falk and Kovacs, Tamas G. and Schierenberg, Sebastian (2011) Anderson localization through Polyakov loops: Lattice evidence and random matrix model. PHYSICAL REVIEW D, 84 (3): 034505. ISSN 1550-7998, 1550-2368
Full text not available from this repository.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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CHIRAL-SYMMETRY RESTORATION; EXACTLY MASSLESS QUARKS; FINITE-TEMPERATURE; PHASE-TRANSITION; DIRAC OPERATOR; PLANAR LIMIT; GAUGE-THEORY; QCD; INSTANTONS; SPECTRUM; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 Jun 2020 05:19 |
| Last Modified: | 03 Jun 2020 05:19 |
| URI: | https://pred.uni-regensburg.de/id/eprint/20385 |
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