Conformal string operators and evolution of skewed parton distributions

TL;DR

This paper explores the evolution of skewed parton distributions in coordinate space using conformal operators, providing a Neumann series solution that parallels known momentum-space results.

Contribution

It introduces a simple conformal operator-based framework for describing the evolution of skewed parton distributions in coordinate space.

Findings

Derived a Neumann series expansion for evolution

Reproduced known momentum-space evolution results

Linked coordinate and momentum space descriptions

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.