A resummed perturbative expansion is used to obtain the self-energy in the high-temperature g²φ⁴ field-theory model up to order g⁴. From this the zero-momentum pole of the effective propagator is evaluated to determine the induced thermal mass and damping rate for the bosons in the plasma to order g³. The calculations are performed in the imaginary-time formalism and a simple diagrammatic analysis is used to identify the relevant diagrams at each order. Results are compared with similar real-time calculations found in the literature.
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Rajesh R. Parwani (1992) studied this question.
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