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Topological Charge and $U(1)_A$ Symmetry in the High Temperature Phase of QCD

N. Evans·S. D. H. Hsu·M. Schwetz
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Abstract

We discuss the global symmetries of the high temperature phase of QCD with $N_f$ massless quarks. We show that the $U(N_f) \times U(N_f)$ symmetries are only violated by operators of dimension $\geq 3 N_f$. For $N_f > 2$ this implies that the thermal two-point correlation functions of the $η'$ and $π^a$'s are identical. We discuss the implications of this for the chiral phase transition at finite temperature.

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N. Evans, S. D. H. Hsu, M. Schwetz. 1996-01-29. Topological Charge and $U(1)_A$ Symmetry in the High Temperature Phase of QCD. https://doi.org/10.1016/0370-2693(96)00280-8

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