Chiral Meson Masses at Finite Temperature and Density

Details Chiral Meson Masses at Finite Temperature and Density Chiral Meson Masses at Finite Temperature and Density

2000-09-25

arxiv.org/abs/hep-ph/0009285v1

Phys.Rev. D63 (2001) 074002

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 2 figures

Scientific paper

10.1103/PhysRevD.63.074002

The ratio of the sigma mass to the pion mass at finite temperatures and densities provides for a quantitative signal of chiral symmetry breaking. We calculate this ratio by using an extension to finite chemical potential of the field theoretic composite operator formalism as applied to QCD. The calculation is limited to regions of the phase diagram where only quark-antiquark condensates dominate (no quark-quark condensates) and it confirms the expected behaviours. In particular the sigma becomes an essentially stable particle in a narrow region bordering the transition line from broken to restored chirality . This pattern is qualitatively the same both for the region where the transition is of second order as for the region where it is of first order (apart from the discontinuities expected in the latter case).

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