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Perturbation Theory of Scattering Amplitudes at High Energies

Jun, 1963
7 pages
Published in:
  • Phys.Rev. 130 (1963) 2566-2572
DOI:
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Abstract: (APS)
The asymptotic behavior of Feynman-Dyson graphs for elastic scattering at high energies is studied by means of the Mellin transform. The leading terms of a set of graphs involving three-particle intermediate states are summed. Under certain conditions the asymptotic behavior of the sum is found to contain a factor (lns)−32. This is incompatible with Regge behavior, but is consistent instead with a cut in the complex angular momentum plane.