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Author Kronfli, N. S.
Sponsorship USDOE
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ ANALYTIC FUNCTIONS ♦ CONFIGURATION ♦ ELEMENTARY PARTICLES ♦ ENERGY ♦ ENERGY LEVELS ♦ FEYNMAN DIAGRAM ♦ FIELD THEORY ♦ INTERACTIONS ♦ MATHEMATICS ♦ MOMENTUM ♦ RELATIVITY THEORY ♦ RIEMANN SHEET ♦ SCATTERING ♦ UNITARITY
Abstract By assuming analyticity in the energy plane and using unitarity, it is found that the relativistic scattering amplitudes of general processes have no singularities in the energy plane except branch points at the thresholds, when keeping the momentum transfer variables in their physical range. These branch points are of the square root type or logarithmic according to whether the number of particles in the corresponding intermediate states is even or odd, respectively. The normal threshold behavior of the Feynman amplitudes is considered in detail and is found to agree with the above results. Continuation of the general amplitudes into their various unphysical Riemann sheets was also obtained. (auth)
ISSN 00296341
Educational Use Research
Learning Resource Type Article
Publisher Date 1963-12-16
Publisher Department Univ. of London
Journal Nuovo Cimento
Volume Number 10
Issue Number 30
Organization Univ. of London


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