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The localization transition in SU(3) gauge theory
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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.
Forward citations
Cited by 2 Pith papers
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Dirac mode localization in QCD near the crossover temperature
Low-lying Dirac modes in QCD localize at Tloc ≈ 155–158 MeV, the same temperature range as the chiral crossover.
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QCD Anderson transition with overlap valence quarks on a twisted-mass sea -- an update
New lattice data show the quark mobility edge in QCD stays near 86-88 MeV at temperatures close to the chiral transition, instead of vanishing as previously extrapolated.
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