U(1) Axial Symmetry and Correlation Functions in the High Temperature Phase of QCD

Abstract

Simple group-theoretical arguments are used to demonstrated that in the high temperature (chirally restored) phase of QCD with N massless flavours, all n-point correlation functions of quark bilinears are invariant under U(1) axial transformations provided n < N. In particular this implies that the two-point correlation function in the eta' channel is identical to that in the pion channel for N > 2. Unlike previous work, this result does not depend on the topological properties of QCD and can be formulated without explicit reference to functional integrals.

3 pages, RevTeX

References in corpus (3)

• The High Temperature Phase of QCD and {\boldmath $U(1{)}_A$} Symmetry
• $U_A(1)$ symmetry restoration in QCD with $N_f$ flavors
• Topological Charge and $U(1{)}_A$ Symmetry in the High Temperature Phase of QCD

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• On the QCD Phase Transition at Finite Baryon Density
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• Thermodynamical properties of strongly interacting matter in a model with explicit chiral symmetry breaking interactions
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• Symmetries in high-temperature lattice QCD with (u, d, s, c, b) optimal domain-wall quarks
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