Renormalization in momentum dependent resummations

Journal Article · Sun Oct 15 00:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.085026· OSTI ID:20871454

Jakovac, Antal ^[1]

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1. Institute of Physics, Budapest University of Technology and Economics, Budafoki ut 8, H-1111 Budapest (Hungary)

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.

• OSTI ID: 20871454
• Journal Information: Physical Review. D, Particles Fields, Vol. 74, Issue 8; Other Information: DOI: 10.1103/PhysRevD.74.085026; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EQUILIBRIUM
INFRARED DIVERGENCES
PERTURBATION THEORY
QUANTUM FIELD THEORY
RENORMALIZATION