Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-03-23
Annals Phys. 320 (2005) 344-398
Physics
High Energy Physics
High Energy Physics - Phenomenology
71 pages, 30 figures, published version
Scientific paper
10.1016/j.aop.2005.06.001
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 $\Gamma[\phi]$ for scalar fields $\phi$. 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.
Berges Juergen
Borsanyi Szabolcs
Reinosa Urko
Serreau Julien
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