High energy evolution of soft gluon cascades
St. Petersburg Nuclear Physics Institute, 188300, Gatchina, St. Petersburg district, Russia
2 Laboratoire de Physique Théorique, Université Paris XI, Centre d'Orsay bât. 211, 91405, Orsay Cedex, France
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Revised: 5 December 2005
Published online: 3 February 2006
In this paper we derive an evolution equation for the gluon density in soft gluon cascades emitted from any colored source, in the leading logarithmic approximation of perturbative QCD. We show that this equation has the same form as the BFKL equation in the forward case. An explicit expression for the total cascade wavefunction involving an arbitrary number of soft gluons is obtained. Renormalization of the colored source wavefunction turns out to be responsible for the reggeization of the source.
© Springer-Verlag, 2006