Thermal rho and sigma mesons from chiral symmetry and unitarity

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.

5 pages, 5 figures, revtex. References and brief comments added. Final version to appear in Phys. Rev. C

References in corpus (7)

• Meson-meson scattering within one loop Chiral Perturbation Theory and its unitarization
• QCD Isospin Breaking in Meson Masses, Decay Constants and Quark Mass Ratios
• Properties of $\rho$ and $\omega$ Mesons at Finite Temperature and Density as Inferred from Experiment
• The $\sigma$ meson in a nuclear medium through two pion photoproduction
• The Inverse Amplitude Method in $\pi \pi$ Scattering in Chiral Perturbation Theory to Two Loops
• Simultaneous Softening of sigma and rho Mesons associated with Chiral Restoration
• rho -> pi pi decay in nuclear medium

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