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Anderson transition and multifractals in the spectrum of the Dirac operator of Quantum Chromodynamics at high temperature

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arxiv 1507.02162 v1 pith:VNPKG5PX submitted 2015-07-08 cond-mat.dis-nn hep-lat

L. Ujfalusi , M. Giordano , F. Pittler , T. G. Kovács , I. Varga This is my paper · ORCID
classification cond-mat.dis-nnhep-lat
keywords andersontransitioncriticaldiracmodeloperatorresultsspectrum
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We investigate the Anderson transition found in the spectrum of the Dirac operator of Quantum Chromodynamics (QCD) at high temperature, studying the properties of the critical quark eigenfunctions. Applying multifractal finite-size scaling we determine the critical point and the critical exponent of the transition, finding agreement with previous results, and with available results for the unitary Anderson model. We estimate several multifractal exponents, finding also in this case agreement with a recent determination for the unitary Anderson model. Our results confirm the presence of a true Anderson localization-delocalization transition in the spectrum of the quark Dirac operator at high-temperature, and further support that it belongs to the 3D unitary Anderson model class.

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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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