Renormalization of selfconsistent approximation schemes. 2. Applications to the sunset diagram

Nov, 2001
17 pages
Published in:
  • Phys.Rev.D 65 (2002) 105005
e-Print:
Report number:
  • GSI-PREPRINT-2001-31

Citations per year

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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 ϕ4\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 Φ\Phi-derivable approximation or 2PI effective action concept.
  • 11.10.Wx
  • 11.10.Gh
  • phi**n model: 4
  • renormalization
  • propagator
  • finite temperature
  • effective action
  • Feynman graph: higher-order
  • numerical calculations