Influence of the U(1)_A Anomaly on the QCD Phase Transition

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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5 pages, 3 figures, Revtex, discussion extended and references added. To appear in PRD

Scientific paper

10.1103/PhysRevD.63.037901

The SU(3)_{r} \times SU(3)_{\ell} linear sigma model is used to study the chiral symmetry restoring phase transition of QCD at nonzero temperature. The line of second order phase transitions separating the first order and smooth crossover regions is located in the plane of the strange and nonstrange quark masses. It is found that if the U(1)_{A} symmetry is explicitly broken by the U(1)_{A} anomaly then there is a smooth crossover to the chirally symmetric phase for physical values of the quark masses. If the U(1)_{A} anomaly is absent, then there is a phase transition provided that the \sigma meson mass is at least 600 MeV. In both cases, the region of first order phase transitions in the quark mass plane is enlarged as the mass of the \sigma meson is increased.

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