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INTEGRAL REPRESENTATIONS FOR PRODUCTION AMPLITUDES IN PERTURBATION THEORY

Journal Article · · Journal of Mathematical Physics (New York) (U.S.)
DOI:https://doi.org/10.1063/1.1703857· OSTI ID:4720273
The integral representation for two-particle scattering is extended to the case of one-particle-production amplitudes. Five integral representations are found, whose main parts consist of only six terms. Their support properties are investigated for the equal-mass case in every order of perturbation theory. It is shown that lowestorder graphs are by no means the representatives of analyticity in perturbation theory even in the equal-mass case. (auth)
Research Organization:
Inst. for Advanced Study, Princeton, N.J.
Sponsoring Organization:
USDOE
NSA Number:
NSA-17-009222
OSTI ID:
4720273
Journal Information:
Journal of Mathematical Physics (New York) (U.S.), Journal Name: Journal of Mathematical Physics (New York) (U.S.) Vol. Vol: 3; ISSN JMAPA
Country of Publication:
Country unknown/Code not available
Language:
English

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