Anderson localization in QCD-like theories

Abstract

We review the present status of the Anderson transition in the spectrum of the Dirac operator of QCD-like theories on the lattice. Localized modes at the low-end of the spectrum have been found in SU(2) Yang-Mills theory with overlap and staggered valence fermions as well as in Nf=2+1 QCD with staggered quarks. We draw an analogy between the transition from localized to delocalized modes in the Dirac spectrum and the Anderson transition in electronic systems. The QCD transition turns out to be in the same universality class as the transition in the corresponding Anderson model. We also speculate on the possible physical relevance of this transition to QCD at high temperature and the possible finite temperature phase transition in QCD-like models with different fermion contents.

arXiv commentto appear in special issue "Recent Nonperturbative Developments in QCD-like theories" of Int. J. Mod. Phys. A

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Cited by in corpus (13)

• Superdiffusive Transport and Energy Localization in Disordered Granular Crystals
• Anderson transition and multifractals in the spectrum of the Dirac operator of Quantum Chromodynamics at high temperature
• The localization transition in SU(3) gauge theory
• Anderson Localization in high temperature QCD: background configuration properties and Dirac eigenmodes
• Deconfinement, chiral transition and localisation in a QCD-like model
• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• Localization with overlap fermions
• Reconfinement, localization and thermal monopoles in $SU(3)$ trace-deformed Yang-Mills theory
• An Anderson-like model of the QCD chiral transition
• Localisation in 2+1 dimensional SU(3) pure gauge theory at finite temperature
• Localization and chiral properties near the ordering transition of an Anderson-like toy model for QCD
• Localization properties of Dirac modes at the Roberge-Weiss phase transition
• Localisation of Dirac modes in gauge theories and Goldstone's theorem at finite temperature