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.

6 pages, published version

References in corpus (1)

• U_A(1) Anomaly at high temperature: the scalar-pseudoscalar splitting in QCD

Cited by in corpus (5)

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• Eigenvalue spectra of QCD and the fate of $U_A(1)$ breaking towards the chiral limit
• 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