Localization with overlap fermions

Abstract

We study the finite temperature localization transition in the spectrum of the overlap Dirac operator. Simulating the quenched approximation of QCD, we calculate the mobility edge, separating localized and delocalized modes in the spectrum. We do this at several temperatures just above the deconfining transition and by extrapolation we determine the temperature where the mobility edge vanishes and localized modes completely disappear from the spectrum. We find that this temperature, where even the lowest Dirac eigenmodes become delocalized, coincides with the critical temperature of the deconfining transition. This result, together with our previously obtained similar findings for staggered fermions shows that quark localization at the deconfining temperature is independent of the fermion discretization, suggesting that deconfinement and localization of the lowest Dirac eigenmodes are closely related phenomena.

arXiv comment6 pages, 6 figures, revised (new figures, references and some discussions added), published final version

References in corpus (17)

• Anderson Transitions
• A construction of lattice chiral gauge theories
• Chiral Fermions on the Lattice
• Random Matrix Theory and Chiral Symmetry in QCD
• Chiral phase transition temperature in (2+1)-Flavor QCD
• Universal fluctuations in spectra of the lattice Dirac operator
• Rationale for UV-filtered clover fermions
• Critical point and scale setting in SU(3) plasma: An update
• Chiral phase transition in lattice QCD as a metal-insulator transition
• Universality and the QCD Anderson Transition
• Absence of correlations in the QCD Dirac spectrum at high temperature
• Poisson to Random Matrix Transition in the QCD Dirac Spectrum
• Chiral phase transition and Anderson localization in the Instanton Liquid Model for QCD
• Locality and topology with fat link overlap actions
• The localization transition in SU(3) gauge theory
• Anderson localization in QCD-like theories
• Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD

Cited by in corpus (9)

• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• Eigenvalues of the QCD Dirac matrix with improved staggered quarks in the continuum limit
• Reconfinement, localization and thermal monopoles in $SU(3)$ trace-deformed Yang-Mills theory
• 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
• Localisation of Dirac eigenmodes and confinement in gauge theories: the Roberge-Weiss transition