Universality and the QCD Anderson Transition

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.

4 pages, 5 figures

References in corpus (4)

• Anderson Transitions
• The QCD equation of state with dynamical quarks
• Critical exponent for the Anderson transition in the three dimensional orthogonal universality class
• Chiral phase transition in lattice QCD as a metal-insulator transition

Cited by in corpus (35)

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• Unusual Features of QCD Low-Energy Modes in IR Phase
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• Universality classes of the Anderson transition in three-dimensional symmetry classes AIII, BDI, C, D and CI
• An Ising-Anderson model of localisation in high-temperature QCD
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• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• Deconfinement, chiral transition and localisation in a QCD-like model
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• Reconfinement, localization and thermal monopoles in $SU(3)$ trace-deformed Yang-Mills theory
• An Anderson-like model of the QCD chiral transition
• Anderson localization in QCD-like theories
• Localisation in 2+1 dimensional SU(3) pure gauge theory at finite temperature
• Super-Universality in Anderson Localization
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• Localization of Dirac modes in finite-temperature ${\mathbb{Z}}_2$ gauge theory on the lattice
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• Deconfinement transition and localization of Dirac modes in finite-temperature ${\mathbb{Z}}_3$ gauge theory on the lattice
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• QCD Anderson transition with overlap valence quarks on a twisted-mass sea
• Anderson localization in sigma models
• Metal or Insulator? Dirac operator spectrum in holographic QCD
• Topological Dimensions from Disorder and Quantum Mechanics?
• Understanding the approach to thermalization from the eigenspectrum of non-Abelian gauge theories
• Chiral transition, eigenmode localisation and Anderson-like models
• Gluon Condensate via Dirac Spectral Density: IR Phase, Scale Anomaly and IR Decoupling
• Imprints of $U_A(1)$ chiral anomaly and disorder in the Dirac eigenspectrum of QCD at finite temperature
• Localisation of Dirac eigenmodes and confinement in gauge theories: the Roberge-Weiss transition