Finite Temperature Pion Scattering to one-loop in Chiral Perturbation Theory

Abstract

We present the pion-pion elastic scattering amplitude at finite temperature to one-loop in Chiral Perturbation Theory. The thermal scattering amplitude properly defined allows to generalize the perturbative unitarity relation to the $T\ne 0$ case. Our result provides a model independent prediction of an enhanced pion-pion low-energy phase shift with the temperature and it has physical applications within the context of Relativistic Heavy Ion Collisions.

11 pages, 2 figures. Some references and clarifying comments added and new figures included. Final version to appear in Physics Letters B

References in corpus (2)

• Properties of $\rho$ and $\omega$ Mesons at Finite Temperature and Density as Inferred from Experiment
• Thermal rho and sigma mesons from chiral symmetry and unitarity

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