Vladimir Sudakov and double-logarithmic asymptotics of amplitudes in QED, QCD and gravity
Petersburg Nuclear Physics Institute, Gatchina, Orlova Roshcha, 188300, St.Petersburg, Russia
2 Saint Petersburg State University, St. Petersburg, Russia
a The investigation is supported by the grants 22.214.171.1245 of SPSU and 14-2200281 of RFBI. e-mail: firstname.lastname@example.org
Published online: 5 December 2017
We review the Sudakov results on the double logarithmic asymptotics of the electron form-factor which were based on his parametrization of the virtual particle momenta in the Feynman diagrams. The high energy amplitudes for various QED and QCD processes in the double-logarithmic approximation are obtained by using the Bethe-Salpeter approach and the evolution equations. The ultraviolet divergency of the graviton Regge trajectory allows to derive the infrared evolution equation for the graviton-graviton scattering amplitude with a double-logarithmic accuracy. The asymptotic behavior of this amplitude depends essentially on the rank N of the super-symmetry.
© The Authors, published by EDP Sciences, 2017
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