Eur. Phys. J. C (2016) 76: 23
https://doi.org/10.1140/epjc/s10052-015-3865-z

Regular Article - Theoretical Physics

The behaviour of the Green function for the BFKL pomeron with running coupling

¹ Deutsches Elektronen-Synchrotron DESY, 22607, Hamburg, Germany
² Petersburg Nuclear Physics Institute, St. Petersburg State University, Gatchina, St. Petersburg, 188300, Russia
³ School of Physics and Astronomy, University of Southampton, Highfield, Southampton, SO17 1BJ, UK

^* e-mail: doug@soton.ac.uk

Received: 8 September 2015
Accepted: 22 December 2015
Published online: 20 January 2016

Abstract

We analyse here in LO the physical properties of the Green function solution for the BFKL equation. We show that the solution obeys the orthonormality conditions in the physical region and fulfills the completeness requirements. The unintegrated gluon density is shown to consists of a set of a few poles with parameters which could be determined by comparison with the DIS data of high precision.