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

H. van Hees; J. Knoll

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

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arxiv hep-ph/0111193 v4 pith:YFO5LYJM submitted 2001-11-15 hep-ph hep-thnucl-th

H. van Hees , J. Knoll This is my paper · ORCID

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keywords approximationself-consistentdiagramfirstrenormalizationsunsetactionapplications

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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 $\phi^4$-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 $\Phi$-derivable approximation or 2PI effective action concept.

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Consistent Thermal Resummation and Phase Transitions with 2PI Methods
hep-ph 2026-08 conditional novelty 6.0 of 10

A 2PI-Hartree effective potential for two mixing scalars is renormalized and used to show that self-consistent thermal resummation can substantially alter predicted phase transition strengths and gravitational wave spectra.

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