Transport coefficients in Chiral Perturbation Theory

Abstract

We present recent results on the calculation of transport coefficients for a pion gas at zero chemical potential in Chiral Perturbation Theory using Linear Response Theory. More precisely, we show the behavior of DC conductivity and shear viscosity at low temperatures. To compute transport coefficients, the standard power counting of ChPT has to be modified. The effects derived from imposing unitarity are also analyzed. As physical applications in Relativistic Heavy Ion Collisions, we show the relation of the DC conductivity to soft-photon production and phenomenological effects related to a nonzero shear viscosity. In addition, our values for the shear viscosity to entropy ratio satisfy the KSS bound.

3 pages, 6 figures, EPJA style. Talk given at the QNP06 conference in Madrid, and accepted for publication in EPJA

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• Shear viscosity of pion gas due to $\rho \pi \pi$ and $\sigma \pi \pi$ interactions
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• Effect of spectral modification of $\rho$ on shear viscosity of a pion gas
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• The status of the KSS bound and its possible violations (How perfect can a fluid be?)
• Chiral restoration effects on the shear viscosity of a pion gas
• Chemical nonequilibrium for interacting bosons: applications to the pion gas
• Real-time observables from Euclidean thermal correlation functions
• Low mass enhanced probability of pion in hadronic matter due to its Landau cut contributions
• eta/s is critical (at phase transitions)
• Bose-Einstein Condensation and Dissipative Dynamics in a Relativistic Pion Gas