Which chiral symmetry is restored in hot QCD?
Edward Shuryak (Physics Department, SUNY at Stony Brook, NY, ITP,, UCSB, Santa Barbara, CA)
TL;DR
This paper reviews the ongoing debate about whether the $U(1)_A$ chiral symmetry is restored alongside $SU(N_f)_A$ at the critical temperature in hot QCD, analyzing recent lattice and instanton studies.
Contribution
It critically examines current evidence and proposes new calculations to clarify the status of $U(1)_A$ symmetry restoration in hot QCD.
Findings
Current lattice studies show mixed results on $U(1)_A$ restoration.
Instanton effects may persist above $T_c$, affecting symmetry restoration.
Experimental signatures of different restoration scenarios are discussed.
Abstract
We review the current status of the problem of chiral symmetry restoration, discussing an open question of whether at the restoration point the chiral symmetry is or is not (approximately) restored. New lattice and instanton-based studies are considered, and some new calculations are suggested to clarify the issue. We also speculate on possible experimental manifestations of two possible scenarios.
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Taxonomy
TopicsHigh-Energy Particle Collisions Research · Particle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions