2006/05/31 by Antal Jakovác, A. Jakovac
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #hep-ph
paper · pdf · doi:10.1103/physrevd.74.085026
published as Phys.Rev. D74 (2006) 085026 · 16 pages revtex4, 4 figures included; typos corrected, references added
arxiv created 2006/06/01 · openalex publication_date 2006/10/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.