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

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arxiv 1105.5336 v3 pith:IOVCVKLY submitted 2011-05-26 hep-lat hep-phhep-th

Falk Bruckmann , Tamás G. Kovács , Sebastian Schierenberg This is my paper · ORCID
classification hep-lathep-phhep-th
keywords localizationmatrixpolyakovrandomandersoneigenmodesgaugeloops
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Imprints of $U_A(1)$ chiral anomaly and disorder in the Dirac eigenspectrum of QCD at finite temperature

    hep-lat 2026-02 unverdicted novelty 7.0 of 10

    Lattice QCD calculations show intermediate statistics in Dirac eigenvalues near the chiral crossover that correlate with disorder via Polyakov loops, with Thouless conductance serving as a new probe for effective UA(1...

  2. Dirac mode localization in QCD near the crossover temperature

    hep-lat 2026-02 conditional novelty 6.0 of 10

    Low-lying Dirac modes in QCD localize at Tloc ≈ 155–158 MeV, the same temperature range as the chiral crossover.

  3. Localization of Dirac modes in a finite temperature SU(2) Higgs model

    hep-lat 2025-01 conditional novelty 2.0 of 10

    Dirac modes are localized in the Polyakov-loop ordered phases (deconfined and Higgs) of the finite-temperature SU(2)-Higgs model and delocalized in the confined phase, consistent with the sea/islands picture.

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