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Author Mandelstam, S.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ DISPERSION RELATIONS ♦ ELEMENTARY PARTICLES ♦ FEYNMAN DIAGRAM ♦ FIELD THEORY ♦ INTERACTIONS ♦ MANDELSTAM REPRESENTATION ♦ MATRICES ♦ PERTURBATION THEORY ♦ S- MATRIX ♦ SCATTERING ♦ UNITARITY
Abstract The analyticity properties of transition amplitudes are used in conjunction with the unitarity requirements to generate successive terms in the perturbation series, without referring to a specific Lagrangian. In the sixth and higher orders, production is neglected in the unitarity condition, subject to this approximation, it is found that the series can be so constructed. No analyticity properties which have not been rigorously proved need be employed, and the terms are found to satisfy the double dispersion representation. By examining the connection between this method and the conventional calculation oi the perturbation series, the types of spectral function corresponding to different Feynman diagrams can be found. Formulas are given for the regions in which the spectral functions are nonzero. (auth)
ISSN 0031899X
Educational Use Research
Learning Resource Type Article
Publisher Date 1959-09-15
Publisher Department Univ. of California, Berkeley
Journal Physical Review
Volume Number 115
Organization Univ. of California, Berkeley


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