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

H. van Hees·J. Knoll
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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 $ϕ^4$-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 $Φ$-derivable approximation or 2PI effective action concept.

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H. van Hees, J. Knoll. 2002-02-05. Renormalization of Self-consistent Approximation schemes Finite Temperature II: Applications to the Sunset Diagram. https://doi.org/10.1103/physrevd.65.105005

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