Integral Representations for Scattering Amplitudes in Perturbation Theory | Zendy

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Integral Representations for Scattering Amplitudes in Perturbation Theory

Author(s) -

Noboru Nakanishi

Publication year - 1961

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.26.337

Subject(s) - physics , scattering amplitude , feynman diagram , dispersion relation , perturbation theory (quantum mechanics) , scattering , amplitude , mathematical physics , quantum electrodynamics , scattering theory , parametric statistics , integral equation , perturbation (astronomy) , quantum mechanics , mathematical analysis , mathematics , statistics

Integral representations for scattering amplitudes are proposed that are more general than the Mandelstam representation. Support properties are investigated for practical cases and for the general case in every order of perturbation theory. Nambu-Symanzik's formula is proved in terms of the Feynman parametric integral, and an example (for the two-particle scattering) is given in which stability conditions are satisfied but no dispersion relation holds.

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