The localization transition in SU(3) gauge theory

Abstract

We study the Anderson-like localization transition in the spectrum of the Dirac operator of quenched QCD. Above the deconfining transition we determine the temperature dependence of the mobility edge separating localized and delocalized eigenmodes in the spectrum. We show that the temperature where the mobility edge vanishes and localized modes disappear from the spectrum, coincides with the critical temperature of the deconfining transition. We also identify topological charge related close to zero modes in the Dirac spectrum and show that they account for only a small fraction of localized modes, a fraction that is rapidly falling as the temperature increases.

7 pages, 5 figures, v3: additional data on finer lattice; final, published version

References in corpus (8)

• The chiral critical point of Nf=3 QCD at finite density to the order (mu/T)^4
• Microscopic Origin of \boldmath{$U_A(1)$} Symmetry Violation in the High Temperature Phase of QCD
• Critical point and scale setting in SU(3) plasma: An update
• Chiral phase transition in lattice QCD as a metal-insulator transition
• QCD Topology at Finite Temperature: Statistical Mechanics of Selfdual Dyons
• Deconfinement, chiral transition and localisation in a QCD-like model
• Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles
• Anderson localization in QCD-like theories

Cited by in corpus (19)

• Random Matrix Ensemble for the Level Statistics of Many-Body Localization
• Possible New Phase of Thermal QCD
• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• Reconfinement, localization and thermal monopoles in $SU(3)$ trace-deformed Yang-Mills theory
• Localization with overlap fermions
• Eigenvalues of the QCD Dirac matrix with improved staggered quarks in the continuum limit
• Localisation in 2+1 dimensional SU(3) pure gauge theory at finite temperature
• Localization properties of Dirac modes at the Roberge-Weiss phase transition
• Localization of Dirac modes in finite-temperature ${\mathbb{Z}}_2$ gauge theory on the lattice
• Localised Dirac eigenmodes, chiral symmetry breaking, and Goldstone's theorem at finite temperature
• Deconfinement transition and localization of Dirac modes in finite-temperature ${\mathbb{Z}}_3$ gauge theory on the lattice
• Localisation of Dirac modes in gauge theories and Goldstone's theorem at finite temperature
• Localization and delocalization of fermions in a background of correlated spins
• QCD Anderson transition with overlap valence quarks on a twisted-mass sea
• Metal or Insulator? Dirac operator spectrum in holographic QCD
• Understanding the approach to thermalization from the eigenspectrum of non-Abelian gauge theories
• Probability Thermodynamics and Probability Quantum Field
• Localization in SU(3) gauge theory
• Localisation of Dirac eigenmodes and confinement in gauge theories: the Roberge-Weiss transition