Counterterm resummation for 2PI-approximation in constant background

Abstract

Explicit counterterm construction is presented in a symmetry breaking background for the 2PI effective action of the self-interacting one-component scalar field including skeleton diagrams to O(λ^2). The applied strategy is an extension of our treatment of the 2PI-Hartree approximation [G. Fejos, A. Patkos and Zs. Szep, Nucl. Phys. A803 (2008) 135]. The procedure is also applied to the O(N) model.

23 pages, 2 figures, typos corrected. Version published in Nucl. Phys. A

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Cited by in corpus (13)

• 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
• Broken phase scalar effective potential and Phi-derivable approximations
• Renormalized effective actions for the O(N) model at next-to-leading order of the 1/N expansion
• Renormalization of O(N) model in 1/N expansion in auxiliary field formalism
• Resummations in the Bloch-Nordsieck model
• Loss of solution in the symmetry improved Phi-derivable expansion scheme
• Padé approximants and analytic continuation of Euclidean Phi-derivable approximations
• Symmetry improvement of 3PI effective actions for O(N) scalar field theory
• 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 construction of counterterms for 2PI-approximation