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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| Published in | Canadian journal of physics Vol. 86; no. 4; pp. 623 - 627 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Ottawa, Canada
NRC Research Press
01.04.2008
Canadian Science Publishing NRC Research Press |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0008-4204 1208-6045 |
| DOI | 10.1139/p07-202 |
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| Abstract | 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 |
|---|---|
| AbstractList | The five-loop effective potential and the associated summation of subleading logarithms for O(4) globally symmetric massless ... field theory in the Coleman-Weinberg renormalization scheme ... (where ... 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. (ProQuest: ... denotes formulae/symbols omitted.) 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 The five-loop effective potential and the associated summation of subleading logarithms for O(4) globally symmetric massless lambdaphi4 field theory in the Coleman-Weinberg renormalization scheme d4V / dphi4|phi=mu = lambda (where mu 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. 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 |
| Abstract_FL | Nous calculons, via la méthode du groupe de renormalisation, le potentiel effectif à cinq boucles d'une théorie de champ λφ
4
sans masse et globalement symétrique O(4), utilisant l'approche de normalisation de Coleman-Weinberg d
4
V / dφ
4
|
φ=μ
= λ (où μ est l'échelle de renormalisation). Un aspect important de ce travail porte sur la conversion des fonctions connues du groupe de renormalisation à cinq boucles dans l'approche de soustraction minimale (MS) vers l'approche de Coleman-Weinberg.[Traduit par la Rédaction] |
| Audience | Academic |
| Author | Chishtie, F A McKeon, D G.C. Steele, T G |
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| Cites_doi | 10.1016/0370-2693(91)91009-K 10.1139/p06-028 10.1016/0370-2693(79)90248-X 10.1103/PhysRevLett.91.251601 10.1016/j.nuclphysb.2003.11.008 10.1103/PhysRevD.66.014010 10.1103/PhysRevD.9.1686 10.1016/0370-1573(89)90061-6 10.1016/0550-3213(92)90165-8 |
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| Snippet | The five-loop effective potential and the associated summation of subleading logarithms for O(4) globally symmetric massless λφ
4
field theory in the... The five-loop effective potential and the associated summation of subleading logarithms for O(4) globally symmetric massless λϕ 4 field theory in the... The five-loop effective potential and the associated summation of subleading logarithms for O(4) globally symmetric massless ... field theory in the... The five-loop effective potential and the associated summation of subleading logarithms for O(4) globally symmetric massless lambdaphi4 field theory in the... |
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| SubjectTerms | Calculus Evaluation Logarithms Mathematical analysis Mathematical functions Methods Physics Quantum field theory Scalar field theory Scalar functions |
| Title | Renormalization group determination of the five-loop effective potential for massless scalar field theory |
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