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

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

1996-01-29

arxiv.org/abs/hep-ph/9601361v1

Phys.Lett. B375 (1996) 262-266

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, LaTeX

Scientific paper

10.1016/0370-2693(96)00280-8

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 $\eta'$ and $\pi^a$'s are identical. We discuss the implications of this for the chiral phase transition at finite temperature.

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