Nonperturbative renormalization of Phi-derivable approximations in theories with fermions

Abstract

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.

36 pages, 23 figures

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Cited by in corpus (15)

• Aspects of the Functional Renormalisation Group
• Influence of the Polyakov loop on the chiral phase transition in the two flavor chiral quark model
• 2PI functional techniques for gauge theories: QED
• Renormalised nonequilibrium quantum field theory: scalar fields
• Progress in nonequilibrium quantum field theory III
• Broken phase scalar effective potential and Phi-derivable approximations
• Ward Identities for the 2PI effective action in QED
• The pressure of QED from the two-loop 2PI effective action
• Renormalization of 2PI resummation: a renormalization scheme approach
• Broken symmetry phase solution of the phi^4 model at two-loop level of the Phi-derivable approximation
• Renormalisation of out-of-equilibrium quantum fields
• Non-perturbative renormalization of Phi-derivable approximations in theories with multiple fields
• 2PI renormalized effective action for gauge theories
• 2PI functional techniques for abelian gauge theories
• Nonequilibrium field theory from the 2PI effective action