Renormalization of Self-consistent Approximation schemes Finite Temperature II: Applications to the Sunset Diagram

Abstract

The theoretical concepts for the renormalization of self-consistent Dyson resummations, deviced in the first paper of this series, are applied to first example cases for the φ4-theory. Besides the tadpole (Hartree) approximation as a novel part the numerical solutions are presented which includes the sunset self-energy diagram into the self-consistent scheme based on the -derivable approximation or 2PI effective action concept.

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