Algebraic models for the hierarchy structure of evolution equations at small x

Details Algebraic models for the hierarchy structure of evolution equations at small x Algebraic models for the hierarchy structure of evolution equations at small x

2005-03-23

arxiv.org/abs/hep-ph/0503223v2

Nucl.Phys. B725 (2005) 251-264

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 5 figures; minor changes in the revised version

Scientific paper

10.1016/j.nuclphysb.2005.07.030

We explore several models of QCD evolution equations simplified by considering only the rapidity dependence of dipole scattering amplitudes, while provisionally neglecting their dependence on transverse coordinates. Our main focus is on the equations that include the processes of pomeron splittings. We examine the algebraic structures of the governing equation hierarchies, as well as the asymptotic behavior of their solutions in the large-rapidity limit.

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