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

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

2001-11-15

arxiv.org/abs/hep-ph/0111193v4

Phys.Rev. D65 (2002) 105005

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 7 figures Changes in version 2: Adapted title to the first paper of the series, added one figure and some references

Scientific paper

10.1103/PhysRevD.65.105005

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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