Renormalization of 2 particle irreducible resummation: A renormalization scheme approach

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Abstract

A practical method is suggested for performing renormalized 2 particle irreducible (2PI) resummation at finite temperature using specific renormalization schemes. I examine the consistency of such schemes in the paper. Advantages of the proposed method are that there is no need to solve Bethe-Salpeter equations for 2PI resummation, and there is no explicit diagrammatic resummation of the 2 particle reducible graphs. The proposed method is used to perform a two-loop renormalized 2PI resummation in the finite temperature Φ4 model.

Original languageEnglish
Article number125004
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume76
Issue number12
DOIs
Publication statusPublished - Dec 4 2007

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Renormalization
Finite Temperature
Bethe-Salpeter equation
temperature
Graph in graph theory
Model

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

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AB - A practical method is suggested for performing renormalized 2 particle irreducible (2PI) resummation at finite temperature using specific renormalization schemes. I examine the consistency of such schemes in the paper. Advantages of the proposed method are that there is no need to solve Bethe-Salpeter equations for 2PI resummation, and there is no explicit diagrammatic resummation of the 2 particle reducible graphs. The proposed method is used to perform a two-loop renormalized 2PI resummation in the finite temperature Φ4 model.

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