2005/03/31 by J. Berges, Juergen Berges, Sz. Borsányi +5 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #astro-ph #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1016/j.aop.2005.06.001
published as Annals Phys. 320 (2005) 344-398 · 71 pages, 30 figures, published version
openalex publication_date 2005/07/26 · arxiv created 2005/10/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Nonperturbative approximation schemes based on two-particle irreducible (2PI) effective actions provide an important means for our current understanding of (non-)equilibrium quantum field theory. A remarkable property is their renormalizability, since these approximations involve selective summations to infinite perturbative orders. In this paper we show how to renormalize all n-point functions of the theory, which are given by derivatives of the 2PI-resummed effective action Γ[ϕ] for scalar fields ϕ. This provides a complete description in terms of the generating functional for renormalized proper vertices, which extends previous prescriptions in the literature on the renormalization for 2PI effective actions. The importance of the 2PI-resummed generating functional for proper vertices stems from the fact that the latter respect all symmetry properties of the theory and, in particular, Goldstone's theorem in the phase with spontaneous symmetry breaking. This is important in view of the application of these techniques to gauge theories, where Ward identities play a crucial role.