UNITARITY AND ANALYTICITY IN THE COMPLEX ENERGY PLANE OF GENERAL SCATTERING AMPLITUDES

Journal Article · Mon Dec 16 04:00:00 EST 1963 · Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B

DOI:https://doi.org/10.1007/BF02749824· OSTI ID:4090516

Kronfli, N S

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)

• Research Organization: Univ. of London
• Sponsoring Organization: USDOE
• NSA Number: NSA-18-009145
• OSTI ID: 4090516
• Journal Information: Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B, Journal Name: Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B Vol. Vol: (10), 30; ISSN NUCIA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANALYTIC FUNCTIONS
CONFIGURATION
ELEMENTARY PARTICLES
ENERGY
ENERGY LEVELS
FEYNMAN DIAGRAM
FIELD THEORY
INTERACTIONS
MATHEMATICS
MOMENTUM
PHYSICS
RELATIVITY THEORY
RIEMANN SHEET
SCATTERING
UNITARITY