Topology, fermionic zero modes and flavor singlet correlators in finite temperature QCD

Abstract

We compute the screening correlators in the sigma and eta' flavor singlet channels in finite temperature QCD with 2 light quark flavors. Together with the correlators in the pi and delta channels, these are used to discuss several issues related to symmetry restoration and the nature of the QCD phase transition. Our calculations span a range of temperature extending from approximately 125 MeV to 170 MeV and are carried out in the context of a staggered fermion formulation on a 16^3x8 lattice. In addition to the computation at a fixed quark mass (am_q=0.00625), we discuss the issue of the chiral limit. After careful consideration of the zero-mode shift lattice artefact, we present rather strong (topological) arguments in favor of the non-restoration of U_A(1) at T_c.

35 pages, 14 figures

Cited by in corpus (35)

• Theta dependence of SU(N) gauge theories in the presence of a topological term
• The Status of Lattice QCD at Finite Temperature
• Relevance of the axial anomaly at the finite-temperature chiral transition in QCD
• The chiral transition and U(1)_A symmetry restoration from lattice QCD using Domain Wall Fermions
• On the nature of the finite-temperature transition in QCD
• Scaling tests of the improved Kogut-Susskind quark action
• Chiral observables and topology in hot QCD with two families of quarks
• Improved staggered quark actions with reduced flavour symmetry violations for lattice QCD
• Chiral Condensate in the Deconfined Phase of Quenched Gauge Theories
• Symmetries of spatial meson correlators in high temperature QCD
• Lattice QCD with Ginsparg-Wilson fermions
• Effective Restoration of the U_A(1) symmetry in the SU(3) linear sigma model
• Anomalous Chiral Symmetry Breaking above the QCD Phase Transition
• Topology and axions in QCD
• Approximate degeneracy of $J=1$ spatial correlators in high temperature QCD
• Five-loop epsilon expansion for U(n)xU(m) models: finite-temperature phase transition in light QCD
• Low-lying Eigenvalues of the QCD Dirac Operator at Finite Temperature
• The bulk transition of QCD with twelve flavors and the role of improvement
• The finite-temperature chiral transition in QCD with adjoint fermions
• Pion spectral properties above the chiral crossover of QCD
• Systematics of Staggered Fermion Spectral Properties and Topology
• $\eta$ and ${\eta }^{\prime }$ mesons in the Dyson-Schwinger approach at finite temperature
• Methods for Pseudoscalar Flavour-Singlet Mesons with Staggered Fermions
• Remarks on the U(1) axial symmetry and the chiral transition in QCD at finite temperature
• Quenched QCD at finite temperature with chiral Fermions
• Meson Screening Masses in the Interacting QCD Plasma
• Pseudo-scalar meson spectral properties in the chiral crossover region of QCD
• Screening correlators with chiral Fermions
• Domain wall fermion zero modes on classical topological backgrounds
• Topology and Staggered Fermion Action Improvement
• Topological observables and $\theta$ dependence in high temperature QCD from lattice simulations
• Study of some local and global $U(1)$ axial condensates in QCD at finite temperature
• Towards measuring the eta' mass with N_f=2+1 staggered fermions
• Domain wall fermions at finite temperature
• Quenched QCD at finite temperature with overlap Fermions