Double spectral representations of single loop amptitudes with k vertices: k ≥ 4

J.S. Frederiksen

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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.
Original languageEnglish
Pages (from-to)1826-1834
Number of pages9
JournalJournal of Mathematical Physics
Volume15
Issue number11
DOIs
Publication statusPublished - 1974

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