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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	160-166
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	568
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physletb.2003.06.008
Publication status	Published - 21 Aug 2003
Externally published	Yes

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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 - Blaizot, Jean Paul

AU - Iancu, Edmond

AU - Reinosa, Urko

PY - 2003/8/21

Y1 - 2003/8/21

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0043238799

U2 - 10.1016/j.physletb.2003.06.008

DO - 10.1016/j.physletb.2003.06.008

M3 - Article

AN - SCOPUS:0043238799

SN - 0370-2693

VL - 568

SP - 160

EP - 166

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

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

IS - 1-2

ER -

Renormalizability of φ-derivable approximations in scalar φ ⁴ theory

Abstract

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