Double spectral representations of single loop amplitudes with k vertices

K ≥ 4

J. S. Frederiksen

Research output: Contribution to journalArticleOther

2 Citations (Scopus)

Abstract

A method developed in several previous papers is combined with the method of induction to derive double dispersion relations, with Mandelstam boundary, for the class of single loop amplitudes with four or more vertices. The spectral functions are expressed as integral representations and restrictions on the masses and kinematic invariants for which dispersion relations are valid are found. It is also discussed how representations for the low order single loop amplitudes can be obtained for wider ranges of these variables.

Original languageEnglish
Pages (from-to)1826-1834
Number of pages9
JournalJournal of Mathematical Physics
Volume15
Issue number11
Publication statusPublished - 1973
Externally publishedYes

Cite this

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abstract = "A method developed in several previous papers is combined with the method of induction to derive double dispersion relations, with Mandelstam boundary, for the class of single loop amplitudes with four or more vertices. The spectral functions are expressed as integral representations and restrictions on the masses and kinematic invariants for which dispersion relations are valid are found. It is also discussed how representations for the low order single loop amplitudes can be obtained for wider ranges of these variables.",
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Double spectral representations of single loop amplitudes with k vertices : K ≥ 4. / Frederiksen, J. S.

In: Journal of Mathematical Physics, Vol. 15, No. 11, 1973, p. 1826-1834.

Research output: Contribution to journalArticleOther

TY - JOUR

T1 - Double spectral representations of single loop amplitudes with k vertices

T2 - K ≥ 4

AU - Frederiksen, J. S.

PY - 1973

Y1 - 1973

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AB - A method developed in several previous papers is combined with the method of induction to derive double dispersion relations, with Mandelstam boundary, for the class of single loop amplitudes with four or more vertices. The spectral functions are expressed as integral representations and restrictions on the masses and kinematic invariants for which dispersion relations are valid are found. It is also discussed how representations for the low order single loop amplitudes can be obtained for wider ranges of these variables.

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JO - Journal of Mathematical Physics

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