EPJ Web Conf.
Volume 164, 20175th International Conference on New Frontiers in Physics
|Number of page(s)||6|
|Published online||05 December 2017|
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 18.104.22.1685 of SPSU and 14-2200281 of RFBI. e-mail: email@example.com
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
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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