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Localization with overlap fermions

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arxiv 2001.06872 v2 pith:AZBK6I3H submitted 2020-01-19 hep-lat cond-mat.dis-nnhep-th

classification hep-latcond-mat.dis-nnhep-th
keywords temperaturelocalizationdeconfiningdiracspectrumtransitiondelocalizededge
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the finite temperature localization transition in the spectrum of the overlap Dirac operator. Simulating the quenched approximation of QCD, we calculate the mobility edge, separating localized and delocalized modes in the spectrum. We do this at several temperatures just above the deconfining transition and by extrapolation we determine the temperature where the mobility edge vanishes and localized modes completely disappear from the spectrum. We find that this temperature, where even the lowest Dirac eigenmodes become delocalized, coincides with the critical temperature of the deconfining transition. This result, together with our previously obtained similar findings for staggered fermions shows that quark localization at the deconfining temperature is independent of the fermion discretization, suggesting that deconfinement and localization of the lowest Dirac eigenmodes are closely related phenomena.

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Cited by 2 Pith papers

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

  1. 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.

  2. 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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