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Chiral phase transition in lattice QCD as a metal-insulator transition
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We investigate the lattice QCD Dirac operator with staggered fermions at temperatures around the chiral phase transition. We present evidence of a metal-insulator transition in the low lying modes of the Dirac operator around the same temperature as the chiral phase transition. This strongly suggests the phenomenon of Anderson localization drives the QCD vacuum to the chirally symmetric phase in a way similar to a metal-insulator transition in a disordered conductor. We also discuss how Anderson localization affects the usual phenomenological treatment of phase transitions a la Ginzburg-Landau.
Forward citations
Cited by 3 Pith papers
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Imprints of $U_A(1)$ chiral anomaly and disorder in the Dirac eigenspectrum of QCD at finite temperature
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Dirac mode localization in QCD near the crossover temperature
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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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