Publication: Thermal meson properties within Chiral Perturbation Theory
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2003
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American Institute of Physics
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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 p and a resonances. Our results show a clear increase of the thermal p width, as expected from previous analysis. The results for the a 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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©2003 American Institute of Physics 0-7354-0120-9/03/S20.00.
International Workshop on Hadron Physics (2 . 2002. Coimbra, Portugal).
Hadron Physics: effective theories of low energy QCD
A.G.N and J.R.P wish to thank the organizers of the "2nd International Workshop on Hadron Physics" for their kind invitation. We acknowledge financial support from the Spanish CICYT projects, FPA2000-0956, PB98-0782 and BFM2000-1326. This work was supported in part by the Director, Office of Science, Office of High Energy and Nuclear Physics of the U.S. Department of Energy under Contract DE-AC03-76SF00098. J.R.P. acknowledges support from the CICYT-INFN collaboration grant 003P 640.15. A.D. acknowledges support from the Universidad Complutense del Amo Program. Eqns.(4)-(7) and Fig.4 are reprinted from "Finite-temperature pion scattering to one loop in chiral perturbation theory" [18] with permission from Elsevier Science.
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