Thermal Meson properties within Chiral Perturbation Theory

Details Thermal Meson properties within Chiral Perturbation Theory Thermal Meson properties within Chiral Perturbation Theory

2002-12-09

arxiv.org/abs/hep-ph/0212121v1

AIPConf.Proc.660:156-169,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 7 figures. To appear in the Proceedings of the "2nd International Workshop on Hadron Physics: Effective Theories of

Scientific paper

10.1063/1.1570568

We report on our recent work about the description of a meson gas below the chiral phase transition within the framework of Chiral Perturbation Theory. As an alternative to the standard treatment, we present a calculation of the quark condensate which combines the virial expansion and the meson-meson scattering data. We have also calculated the full one-loop elastic pion scattering amplitude at finite temperature and we have unitarized the amplitude using the Inverse Amplitude Method in order to reproduce the temperature effects on the mass and width of the $\rho$ and $\sigma$ resonances. Our results show a clear increase of the thermal $\rho$ width, as expected from previous analysis. The results for the $\sigma$ are consistent with Chiral Symmetry Restoration. We comment on the relevance of our results within the context of Relativistic Heavy Ion Collisions.

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