Renormalizability of φ-derivable approximations in scalar φ 4 theory

Jean Paul Blaizot; Edmond Iancu; Urko Reinosa

doi:10.1016/j.physletb.2003.06.008

Renormalizability of φ-derivable approximations in scalar φ ⁴ theory

Jean Paul Blaizot
, Edmond Iancu
, Urko Reinosa

Institut Pierre Simon Laplace, CNRS and CEA

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	160-166
Nombre de pages	7
journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	568
Numéro de publication	1-2
Les DOIs	https://doi.org/10.1016/j.physletb.2003.06.008
état	Publié - 21 août 2003
Modification externe	Oui

Accès au document

10.1016/j.physletb.2003.06.008

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Contient cette citation

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title = "Renormalizability of φ-derivable approximations in scalar φ 4 theory",

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.",

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AU - Iancu, Edmond

AU - Reinosa, Urko

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AB - 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.

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

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