The topological structure of SU(2) gluodynamics at T > 0 : an analysis using the Symanzik action and Neuberger overlap fermions

Abstract

We study SU(2) gluodynamics at finite temperature on both sides of the deconfining phase transition. We create the lattice ensembles using the tree-level tadpole-improved Symanzik action. The Neuberger overlap Dirac operator is used to determine the following three aspects of vacuum structure: (i) The topological susceptibility is evaluated at various temperatures across the phase transition, (ii) the overlap fermion spectral density is determined and found to depend on the Polyakov loop above the phase transition and (iii) the corresponding localization properties of low-lying eigenmodes are investigated. Finally, we compare with zero temperature results.

arXiv comment20 pages, 21 figures, one new figure, two overloaded figures split in two, minor clarifying changes throughout the text, final version accepted by Physical Review D

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• Exactly massless quarks on the lattice
• The index theorem in QCD with a finite cut-off
• Exact chiral symmetry, topological charge and related topics
• Dual quark condensate and dressed Polyakov loops
• Linking confinement to spectral properties of the Dirac operator
• Exploring the structure of the quenched QCD vacuum with overlap fermions
• Chiral Condensate in the Deconfined Phase of Quenched Gauge Theories
• Chiral symmetry at finite T, the phase of the Polyakov loop and the spectrum of the Dirac operator
• A comprehensive picture of topological excitations in finite temperature lattice QCD
• Complete spectra of the Dirac operator and their relation to confinement
• Anomalous Chiral Symmetry Breaking above the QCD Phase Transition
• Dirac Spectrum, Axial Anomaly and the QCD Chiral Phase Transition
• Properties of near-zero modes and chiral symmetry breaking
• Relation between chiral symmetry breaking and confinement in YM-theories
• On the continuum limit of fermionic topological charge in lattice gauge theory
• Topology at zero and finite T in SU(2) Yang-Mills theory
• Universality check of Abelian Monopoles
• Calorons and dyons at the thermal phase transition analyzed by overlap fermions
• Chiral symmetry restoration and the Z3 sectors of QCD
• Topological lumps and Dirac zero modes in SU(3) lattice gauge theory on the torus
• Evidence for fine tuning of fermionic modes in lattice gluodynamics

Cited by in corpus (25)

• Inverse magnetic catalysis and the Polyakov loop
• Numerical evidence of chiral magnetic effect in lattice gauge theory
• Magnetic-Field-Induced insulator-conductor transition in SU(2) quenched lattice gauge theory
• Finite temperature study of the axial U(1) symmetry on the lattice with overlap fermion formulation
• Numerical study of chiral symmetry breaking in non-Abelian gauge theory with background magnetic field
• Electromagnetic superconductivity of vacuum induced by strong magnetic field: numerical evidence in lattice gauge theory
• Anderson localization through Polyakov loops: lattice evidence and Random matrix model
• Poisson to Random Matrix Transition in the QCD Dirac Spectrum
• Quark electric dipole moment induced by magnetic field
• Fermionic boundary conditions and the finite temperature transition of QCD
• Chiral symmetry and spectral properties of the Dirac operator in G2 Yang-Mills Theory
• Chiral superfluidity of the quark-gluon plasma
• Topology across the finite temperature transition studied by overimproved cooling in gluodynamics and QCD
• Cautionary remarks on the moduli space metric for multi-dyon simulations
• The Vortex Structure of SU(2) Calorons
• Finite-temperature chiral condensate and low-lying Dirac eigenvalues in quenched SU(2) lattice gauge theory
• Topology near the transition temperature in lattice gluodynamics analyzed by low lying modes of the overlap Dirac operator
• Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles
• Fractal dimension of the topological charge density distribution in SU(2) lattice gluodynamics
• Quark mass dependence of the vacuum electric conductivity induced by the magnetic field in SU(2) lattice gluodynamics
• Adjoint quarks and fermionic boundary conditions
• Dual condensate, dressed Polyakov loops and center symmetry from Dirac spectra
• Neutral $\rho$ and $A$ mesons in magnetic field in SU(2) lattice gauge theory
• Symmetry Crossover Protecting Chirality in Dirac Spectra
• Gapless Dirac Spectrum at High Temperature