Renormalization in momentum dependent resummations

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Abstract

At finite temperature and in nonequilibrium environments we have to resum perturbation theory to avoid infrared divergences. Since resummation shuffles the perturbative orders, renormalizability is a nontrivial issue. In this paper we demonstrate that one can modify any type of resummations-even if it is momentum dependent, or it resums higher point functions-in a way that it is renormalizable with the usual zero temperature counterterms. To achieve this goal we reformulate resummation in form of a renormalization scheme. We apply this technique to perform a 2PI resummation in the six dimensional cubic scalar model in equilibrium.

Original languageEnglish
Article number085026
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume74
Issue number8
DOIs
Publication statusPublished - Nov 6 2006

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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