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Localisation in 2+1 dimensional SU(3) pure gauge theory at finite temperature
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I study the localisation properties of low Dirac eigenmodes in 2+1 dimensional SU(3) pure gauge theory, both in the low-temperature, confined and chirally-broken phase and in the high-temperature, deconfined and chirally-restored phase, by means of numerical lattice simulations. While these modes are delocalised at low temperature, they become localised at high temperature, up to a critical point in the Dirac spectrum where a BKT-type Anderson transition takes place. All results point to localisation appearing at the deconfinement temperature, and support previous expectations about the close relation between deconfinement, chiral symmetry breaking, and localisation.
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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Localization of Dirac modes in a finite temperature SU(2) Higgs model
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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