Quasi-instantons in QCD with chiral symmetry restoration

Abstract

We show, without using semiclassical approximations, that, in high-temperature QCD with chiral symmetry restoration and U(1) axial symmetry breaking, the partition function for sufficiently light quarks can be expressed as an ensemble of noninteracting objects with topological charge that obey the Poisson statistics. We argue that the topological objects are "quasi-instantons" (rather than bare instantons) taking into account quantum effects. Our result is valid even close to the (pseudo)critical temperature of the chiral phase transition.

arXiv comment6 pages, published version

References in corpus (15)

• Instantons in QCD
• The QCD chiral transition, $\ua$ symmetry and the Dirac spectrum using domain wall fermions
• Finite temperature study of the axial U(1) symmetry on the lattice with overlap fermion formulation
• Chiral symmetry restoration, eigenvalue density of Dirac operator and axial U(1) anomaly at finite temperature
• Instanton Effects in QCD at High Baryon Density
• The High Temperature Phase of QCD and {\boldmath $U(1{)}_A$} Symmetry
• $U_A(1)$ symmetry restoration in QCD with $N_f$ flavors
• Change of theta dependence in 4D SU(N) gauge theories across the deconfinement transition
• Mesonic correlation lengths in high-temperature QCD
• Chiral Condensate in the Deconfined Phase of Quenched Gauge Theories
• Topological Charge and $U(1{)}_A$ Symmetry in the High Temperature Phase of QCD
• Instanton interactions in dense-matter QCD
• Instanton-induced crossover in dense QCD
• Topology and $\theta$ dependence in finite temperature $G_2$ lattice gauge theory
• U_A(1) Anomaly at high temperature: the scalar-pseudoscalar splitting in QCD

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• Study of the axial U(1) anomaly at high temperature with lattice chiral fermions
• Eigenvalue spectra of QCD and the fate of $U_A(1)$ breaking towards the chiral limit
• Chiral symmetry breaking with no bilinear condensate revisited
• Spectral density of the Dirac-Ginsparg-Wilson operator, chiral $U(1{)}_A$ anomaly, and analyticity in the high temperature phase of $QCD$
• Symmetry of screening masses of mesons in two-flavor lattice QCD at high temperatures