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The localization transition in SU(3) gauge theory

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arxiv 1706.03562 v3 pith:JO7WOL7V submitted 2017-06-12 hep-lat cond-mat.dis-nnhep-ph

The localization transition in SU(3) gauge theory

classification hep-lat cond-mat.dis-nnhep-ph
keywords spectrumtemperaturetransitionlocalizedmodesdeconfiningdiracedge
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the Anderson-like localization transition in the spectrum of the Dirac operator of quenched QCD. Above the deconfining transition we determine the temperature dependence of the mobility edge separating localized and delocalized eigenmodes in the spectrum. We show that the temperature where the mobility edge vanishes and localized modes disappear from the spectrum, coincides with the critical temperature of the deconfining transition. We also identify topological charge related close to zero modes in the Dirac spectrum and show that they account for only a small fraction of localized modes, a fraction that is rapidly falling as the temperature increases.

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  1. Dirac mode localization in QCD near the crossover temperature

    hep-lat 2026-02 conditional novelty 6.0

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