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Conformal string operators and evolution of skewed parton distributions

arXiv:hep-ph/9903531 · doi:10.1016/S0550-3213(99)00349-1

Abstract

We have investigated skewed parton distributions in coordinate space. We found that their evolution can be described in a simple manner in terms of non-local, conformal operators introduced by Balitsky and Braun. The resulting formula is given by a Neumann series expansion. Its structure resembles, for all values of the asymmetry parameter, the well-known solution of the ERBL equation in the momentum space. Performing Fourier transformation we have reproduced known results for evolution of momentum-space distributions.

24 pages, 2 figures