MORE INTEGRAL REPRESENTATIONS FOR SCATTERING AMPLITUDES WITH COMPLEX SINGULARITIES

Journal Article · Mon Jul 01 04:00:00 EDT 1963 · Journal of Mathematical Physics (New York) (U.S.)

DOI:https://doi.org/10.1063/1.1704011· OSTI ID:4679192

Fronsdal, C; Norton, R E; Mahanthappa, K T

Previous work is generalized in order to achieve a better understanding of the role of complex singularities in connection with integral representations. The most general conditions under which the box-diagram contribution to a scattering amplitude satisfies a representation with real integration contours are derived. Explicit representations are derived in several special cases. It is frequently found possible to obtain representations that are essentially of the Mandelstam type, although the more general Bergman-Oka-Weil representation must be invoked in general. One example of a three-dimensional representation is given, which exhibits the analytic structure in one of the external masses in addition to the kinematical variables. The significance of the physical sheet'' is discussed. (auth)

• Research Organization: Univ. of California, Los Angeles
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-031302
• OSTI ID: 4679192
• Journal Information: Journal of Mathematical Physics (New York) (U.S.), Journal Name: Journal of Mathematical Physics (New York) (U.S.) Vol. Vol: 4; ISSN JMAPA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

CROSS SECTIONS
DIFFERENTIAL EQUATIONS
FIELD THEORY
INTEGRALS
MANDELSTAM REPRESENTATION
MASS
MATHEMATICS
PHYSICS
REACTION KINETICS
SCATTERING