The Green Function for the BFKL Pomeron and the Transition to DGLAP Evolution

Abstract

We consider the (process-independent) Green function for the BFKL equation in the next-to-leading order approximation, with running coupling, and explain how, within the semi-classical approximation, it is related to Green function of the Airy equation. The unique Green function is obtained from a combination of its required ultraviolet behaviour compatible with asymptotic freedom and an infrared limit phase imposed by the non-perturbative sector of QCD. We show that at sufficiently large gluon transverse momenta the corresponding gluon density matches that of the DGLAP analysis, whereas for relatively small values of the gluon transverse momentum the gluon distribution is sensitive to the Regge poles, whose positions are determined both by the non-pertubative QCD dynamics and physics at large transverse momenta.

14 pages, 2 figures

References in corpus (3)

• A Global Fit to Scattering Data with NLL BFKL Resummations
• Using HERA Data to Determine the Infrared Behaviour of the BFKL Amplitude
• Evidence for the Discrete Asymptotically-Free BFKL Pomeron from HERA Data

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• The Effect of the Infrared Phase of the Discrete BFKL Pomeron on Transverse Momentum Diffusion
• A functional RG approach for the BFKL Pomeron
• The Odderon in QCD with running coupling
• BFKL pomeron with massive gluons and running coupling
• The Effect of a Rapidity Gap Veto on the Discrete BFKL Pomeron