Localisation in 2+1 dimensional SU(3) pure gauge theory at finite temperature

Abstract

I study the localisation properties of low Dirac eigenmodes in 2+1 dimensional SU(3) pure gauge theory, both in the low-temperature, confined and chirally-broken phase and in the high-temperature, deconfined and chirally-restored phase, by means of numerical lattice simulations. While these modes are delocalised at low temperature, they become localised at high temperature, up to a critical point in the Dirac spectrum where a BKT-type Anderson transition takes place. All results point to localisation appearing at the deconfinement temperature, and support previous expectations about the close relation between deconfinement, chiral symmetry breaking, and localisation.

1+33 pages, 16 figures; several minor changes (typos fixed, a few remarks and extra references added); matches published version

References in corpus (10)

• Anderson Transitions
• The chiral critical point of Nf=3 QCD at finite density to the order (mu/T)^4
• Chiral phase transition in lattice QCD as a metal-insulator transition
• Anderson Localization in Quark-Gluon Plasma
• An Ising-Anderson model of localisation in high-temperature QCD
• Thermodynamics of SU(3) Gauge Theory in 2 + 1 Dimensions
• Deconfinement, chiral transition and localisation in a QCD-like model
• Localization properties of fermions and bosons
• Anderson localization in QCD-like theories
• Random matrix model for QCD_3 staggered fermions

Cited by in corpus (9)

• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• Reconfinement, localization and thermal monopoles in $SU(3)$ trace-deformed Yang-Mills theory
• Localization of Dirac modes in finite-temperature ${\mathbb{Z}}_2$ gauge theory on the lattice
• Localization properties of Dirac modes at the Roberge-Weiss phase transition
• 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
• QCD Anderson transition with overlap valence quarks on a twisted-mass sea
• Localisation of Dirac eigenmodes and confinement in gauge theories: the Roberge-Weiss transition