Renormalizability of Φ-derivable approximations in scalar ϕ4 theory

2003/01/23 by Jean-Paul Blaizot, Edmond Iancu, Urko Reinosa · 71 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Formalism (music) #Noncommutative and Quantum Gravity Theories #Renormalization #Scalar (mathematics) #Scalar field theory #Ultraviolet #hep-ph

paper · pdf · open access · doi:10.1016/j.physletb.2003.06.008

published in Physics Letters B 568(1-2), 160-166 (Elsevier BV) · 4 pages, 2 figures

arxiv created 2003/01/23 · openalex publication_date 2003/07/16 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We discuss the renormalizability of Φ-derivable approximations in scalar ϕ4 theory in four dimensions. The formalism leads to self-consistent equations for the 2-point and the 4-point functions which are plagued by ultraviolet divergences. Through a detailed analysis of the one and two-loop self-energy skeletons, we show that both equations can be renormalized simultaneously and determine the corresponding counterterms. These insure the elimination of ultraviolet divergences both at zero and finite temperature.

Citations

• Entropy of the QCD Plasma
• Solution to the 3-Loop Φ-Derivable Approximation for Massless Scalar Thermodynamics
• Stationary Entropy Principle and Renormalization in Normal and Superfluid Systems. I. Algebraic Formulation
• Effective action for composite operators

Cited by

• Constraining the effective action by a method of external sources
• Tachyonic preheating using 2PI-1/N dynamics and the classical approximation