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.

arXiv comment7 pages, 5 figures, v3: additional data on finer lattice; final, published version

References in corpus (24)

• Instantons in QCD
• The chiral and deconfinement aspects of the QCD transition
• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• Random Matrix Theory and Chiral Symmetry in QCD
• The QCD Phase Diagram for Three Degenerate Flavors and Small Baryon Density
• The equation of state in lattice QCD: with physical quark masses towards the continuum limit
• The Chiral Critical Point in 3-Flavour QCD
• 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
• Universal fluctuations in spectra of the lattice Dirac operator
• Critical point and scale setting in SU(3) plasma: An update
• Chiral Condensate in the Deconfined Phase of Quenched Gauge Theories
• Chiral phase transition in lattice QCD as a metal-insulator transition
• Universality and the QCD Anderson Transition
• Anderson localization through Polyakov loops: lattice evidence and Random matrix model
• Poisson to Random Matrix Transition in the QCD Dirac Spectrum
• Chiral phase transition and Anderson localization in the Instanton Liquid Model for QCD
• QCD Topology at Finite Temperature: Statistical Mechanics of Selfdual Dyons
• Anderson Localization in high temperature QCD: background configuration properties and Dirac eigenmodes
• Phases of SU(3) Gauge Theories with Fundamental Quarks via Dirac Spectral Density
• Deconfinement, chiral transition and localisation in a QCD-like model
• Anderson localization in QCD-like theories
• Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles

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