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Universality and the QCD Anderson Transition

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arxiv 1312.1179 v2 pith:VLKDCINI submitted 2013-12-04 hep-lat cond-mat.dis-nnhep-phhep-th

Matteo Giordano , Tamas G. Kovacs , Ferenc Pittler (Debrecen , Inst. Nucl. Res.) This is my paper · ORCID
classification hep-latcond-mat.dis-nnhep-phhep-th
keywords andersonstatisticstransitionanderson-typechangescompatiblecorrelationcritical
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abstract

We study the Anderson-type transition previously found in the spectrum of the QCD quark Dirac operator in the high temperature, quark-gluon plasma phase. Using finite size scaling for the unfolded level spacing distribution, we show that in the thermodynamic limit there is a genuine mobility edge, where the spectral statistics changes from Poisson to Wigner-Dyson statistics in a non-analytic way. We determine the correlation length critical exponent, $\nu$, and find that it is compatible with that of the unitary Anderson model.

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Cited by 3 Pith papers

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

  1. Imprints of $U_A(1)$ chiral anomaly and disorder in the Dirac eigenspectrum of QCD at finite temperature

    hep-lat 2026-02 unverdicted novelty 7.0 of 10

    Lattice QCD calculations show intermediate statistics in Dirac eigenvalues near the chiral crossover that correlate with disorder via Polyakov loops, with Thouless conductance serving as a new probe for effective UA(1...

  2. 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.

  3. 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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