Resummation in a Hot Scalar Field Theory

A resummed perturbative expansion is used to obtain the self-energy in the high-temperature $g^2ϕ^4$ field theory model up to order $g^4$. 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 $g^3$. 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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