A scale-invariant "discrete-time" Balitsky Kovchegov equation
High Energy Physics - Phenomenology
2008-11-26 v2
Abstract
We consider a version of QCD dipole cascading corresponding to a finite number n of discrete steps Delta Y of branching in rapidity. The discretization scheme preserving the holomorphic factorizability and scale-invariance in position space of the dipole splitting function, we derive an exact recurrence formula from step to step which plays the role of a ``discrete-time'' Balitsky-Kovchegov equation. The BK solutions are recovered in the limit n=infinity and Delta Y=0.
Cite
@article{arxiv.hep-ph/0502187,
title = {A scale-invariant "discrete-time" Balitsky Kovchegov equation},
author = {A. Bialas and R. Peschanski},
journal= {arXiv preprint arXiv:hep-ph/0502187},
year = {2008}
}
Comments
7 pages, 3 eps figures. Problems with LATEX fixed