Chiral restoration effects on the shear viscosity of a pion gas

Details Chiral restoration effects on the shear viscosity of a pion gas Chiral restoration effects on the shear viscosity of a pion gas

2012-02-03

arxiv.org/abs/1202.0724v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 12 figures

Scientific paper

We investigate the shear viscosity of a pion gas in relativistic kinetic theory, using the Nambu-Jona-Lasinio model to construct the pion mass and the pi-pi interaction at finite temperature. Whereas at low temperatures the scattering properties and, hence, the viscosity are in agreement with lowest-order chiral perturbation theory, we find strong medium modifications in the crossover region. Here the system is strongly coupled and the scattering lengths diverge, similarly as for ultra-cold Fermi gases at a Feshbach resonance. As a consequence, the ratio eta/s is found to be strongly reduced as compared to calculations without medium-modified masses and scattering amplitudes. However, the quantitative results are very sensitive to the details of the applied approximations.

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