Bounds for ladder graph scattering amplitudes on the boundary of their cut. [Fourier transform]

Journal Article · Fri Jul 01 04:00:00 EDT 1977 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.523410· OSTI ID:7310305

Wanders, G; Morenzoni, E

The physical s channel of a ladder graph amplitude contains the cut of this analytic function. Exact bounds for the modulus of the sum of the ladder graph amplitudes of the scalar gphi/sup 3/ theory are obtained in this channel. The derivation of these bounds is based on an analytic continuation of the Fourier transforms of the ladder graph amplitudes. The results are compatible with a smooth asymptotic Regge behavior, up to a logarithmic factor.

• Research Organization: Institut de Physique Theorique, Universite de Lausanne, Lausanne, Switzerland
• OSTI ID: 7310305
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 18:7; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400 -- High Energy Physics-- Field Theory
645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ASYMPTOTIC SOLUTIONS
BOUNDARY CONDITIONS
DIAGRAMS
FEYNMAN DIAGRAM
FIELD THEORIES
FOURIER TRANSFORMATION
INTEGRAL TRANSFORMATIONS
LADDER APPROXIMATION
QUANTUM FIELD THEORY
REGGE CUTS
S CHANNEL
SCATTERING AMPLITUDES
TRANSFORMATIONS