Renormalization group determination of the five-loop effective potential for massless scalar field theory

The five-loop effective potential and the associated summation of subleading logarithms for O(4) globally symmetric massless λφ 4 field theory in the Coleman-Weinberg renormalization scheme d 4 V / dφ 4 | φ=μ = λ (where μ is the renormalization scale) is calculated via renormalization-group methods....

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Bibliographic Details
Published inCanadian journal of physics Vol. 86; no. 4; pp. 623 - 627
Main Authors Chishtie, F A, McKeon, D G.C., Steele, T G
Format Journal Article
LanguageEnglish
Published Ottawa, Canada NRC Research Press 01.04.2008
Canadian Science Publishing NRC Research Press
Subjects
Calculus
Evaluation
Logarithms
Mathematical analysis
Mathematical functions
Methods
Physics
Quantum field theory
Scalar field theory
Scalar functions
Canada
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ISSN0008-4204
1208-6045
DOI10.1139/p07-202

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Summary:The five-loop effective potential and the associated summation of subleading logarithms for O(4) globally symmetric massless λφ 4 field theory in the Coleman-Weinberg renormalization scheme d 4 V / dφ 4 | φ=μ = λ (where μ is the renormalization scale) is calculated via renormalization-group methods. An important aspect of this analysis is conversion of the known five-loop renormalization-group functions in the minimal-subtraction (MS) scheme to the Coleman-Weinberg scheme.PACS Nos.: 11.30.Qc, 11.10.Hi, 11.15.Tk, 12.15.Lk
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ISSN:0008-4204
1208-6045
DOI:10.1139/p07-202