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arXiv:hep-ph/9608255·v1·High Energy Physics — Phenomenology

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

Michael C. Birse (U. of Manchester)🇺🇸 · Thomas D. Cohen (U. of Maryland)🇺🇸 · Judith A. McGovern (U. of Manchester)🇺🇸

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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.

Comments: 3 pages, RevTeX

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