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Analytic Properties of Thermal Corrected Boson Propagators

H. C. de Godoy Caldas·M. Hott
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Abstract

We investigate the analytic properties of finite-temperature self-energies of bosons interacting with fermions at one-loop order. A simple boson-fermion model was chosen due to its interesting features of having two distinct couplings of bosons with fermions. This leads to a quite different analytic behavior of the bosons self-energies as the external momentum $K^μ=(k^{0},\vec{k})$ approaches zero in the two possible limits. It is shown that the plasmon and Debye masses are consistently obtained at the pole of the corrected propagator even when the self-energy is analytic at the origin in the frequency-momentum space.

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H. C. de Godoy Caldas, M. Hott. 2003-02-04. Analytic Properties of Thermal Corrected Boson Propagators. https://doi.org/10.1103/physrevd.67.045011

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