Nonperturbative renormalization of Phi-derivable approximations in theories with fermions

Details Nonperturbative renormalization of Phi-derivable approximations in theories with fermions Nonperturbative renormalization of Phi-derivable approximations in theories with fermions

2005-10-10

arxiv.org/abs/hep-ph/0510119v1

Nucl.Phys. A772 (2006) 138-166

Physics

High Energy Physics

High Energy Physics - Phenomenology

36 pages, 23 figures

Scientific paper

10.1016/j.nuclphysa.2006.03.014

We show how to renormalize Phi-derivable approximations in a theory with a fermionic field coupled to a self-interacting scalar field through a Yukawa interaction. The nonperturbative renormalization concerns the self-interaction coupling of the scalar field which is renormalized via a set of nested Bethe-Salpeter equations for the scalar and fermionic four-point functions. We use this information to construct explicit finite equations of motion in the symmetric phase. We work in the context of equilibrium quantum field theory and show that the renormalization can be carried out without introducing temperature dependent counterterms.

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