QCD Anderson transition with overlap valence quarks on a twisted-mass sea

Abstract

In this work we probe the QCD Anderson transition by studying spectral distributions of the massless overlap operator on gauge configurations created by the twisted mass at finite temperature collaboration (tmfT) with 2+1+1 flavors of dynamical quarks and the Iwasaki gauge action. We assess finite-size and discretization effects by considering two different lattice spacings and several physical volumes, and mimic the approach to the continuum limit through stereographic projection. Fitting the inflection points of the participation ratios of the overlap Dirac eigenmodes, we obtain estimates of the temperature dependence of the mobility edge, below which quark modes are localized. We observe that it is well-described by a quadratic polynomial and systematically vanishes at temperatures below the pseudocritical one of the chiral transition. In fact, our best estimates within errors overlap with that of the chiral phase transition temperature of QCD in the chiral limit.

16 pages, 16 figures, revised version with edits, added references and new appendix 'Correlation analysis' in response to comments received and the review proces on Phys. Rev. D (agrees with accepted version), results unchanged

References in corpus (22)

• Anderson Transitions
• Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
• Baryon spectrum with $N_f=2+1+1$ twisted mass fermions
• Microscopic Origin of \boldmath{$U_A(1)$} Symmetry Violation in the High Temperature Phase of QCD
• Chiral phase transition in lattice QCD as a metal-insulator transition
• Anderson Localization in Quark-Gluon Plasma
• Finite-size scaling and multifractality at the Anderson transition for the three Wigner-Dyson symmetry classes in three dimensions
• Eigenvalue spectra of QCD and the fate of $U_A(1)$ breaking towards the chiral limit
• Unusual Features of QCD Low-Energy Modes in IR Phase
• Continuum Goldstone spectrum of two-color QCD at finite density with staggered quarks
• Deconfinement, chiral transition and localisation in a QCD-like model
• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• Eigenvalues and Eigenvectors of the Staggered Dirac Operator at Finite Temperature
• Overlap valence quarks on a twisted mass sea: a case study for mixed action Lattice QCD
• Eigenvalues of the QCD Dirac matrix with improved staggered quarks in the continuum limit
• Anderson Metal-to-Critical Transition in QCD
• Polyakov loops and spectral properties of the staggered Dirac operator
• Localisation in 2+1 dimensional SU(3) pure gauge theory at finite temperature
• Continuum Limit of Overlap Valence Quarks on a Twisted Mass Sea
• Localization of Dirac modes in finite-temperature ${\mathbb{Z}}_2$ gauge theory on the lattice
• 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

Cited by in corpus (2)

• Understanding the approach to thermalization from the eigenspectrum of non-Abelian gauge theories
• Imprints of $U_A(1)$ chiral anomaly and disorder in the Dirac eigenspectrum of QCD at finite temperature