Damping and reaction rates and wave function renormalization of fermions in hot gauge theories

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We examine the relation between the damping rate of a chiral fermion mode propagating in a hot plasma and the rate at which the mode approaches equilibrium. We show how these two quantities, obtained from the imaginary part of the fermion self-energy, are equal when the reaction rate is defined using the appropriate wave function of the mode in the medium. As an application, we compute the production rate of hard axions by Compton-like scattering processes in a hot QED plasma starting from both, the axion self-energy and the electron self-energy. We show that the latter rate coincides with the former only when this is computed using the corresponding medium spinor modes.
Modified version, includes new section on the hard axion photoproduction rate in a hot QED plasma. Version to appear in Int. Jour. Mod. Phys. A

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