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Thermal rho and sigma mesons from chiral symmetry and unitarity

A. Dobado·A. Gomez Nicola·F. J. Llanes-Estrada·J. R. Pelaez
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Abstract

We study the temperature evolution of the rho and sigma mass and width, using a unitary chiral approach. The one-loop pion-pion scattering amplitude in Chiral Perturbation Theory at finite temperature is unitarized via the Inverse Amplitude Method. Our results predict a clear increase with T of both the rho and sigma widths. The masses decrease slightly for high T, while the rho-pion-pion coupling increases. The rho behavior seems to be favored by experimental results. In the sigma case, it signals chiral symmetry restoration.

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A. Dobado, A. Gomez Nicola, F. J. Llanes-Estrada, J. R. Pelaez. 2002-10-03. Thermal rho and sigma mesons from chiral symmetry and unitarity. https://doi.org/10.1103/physrevc.66.055201

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