Infrared instability from nonlinear QCD evolution

Details Infrared instability from nonlinear QCD evolution Infrared instability from nonlinear QCD evolution

2005-10-26

arxiv.org/abs/hep-ph/0510352v2

Nucl.Phys.A767:189-205,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 8 figures. Update to match version in Nuclear Physics A

Scientific paper

10.1016/j.nuclphysa.2005.12.012

Using the Balitsky-Kovchegov (BK) equation as an explicit example, we show that nonlinear QCD evolution leads to an instability in the propagation toward the infrared of the gluon transverse momentum distribution, if one starts with a state with an infrared cut-off. This effect takes the mathematical form of rapidly moving traveling wave solutions of the BK equation, which we investigate by numerical simulations. These traveling wave solutions are different from those governing the transition to saturation, which propagate towards the ultraviolet. The infrared wave speed, formally infinite for the leading order QCD kernel, is determined by higher order corrections. This mechanism could play a role in the rapid decrease of the mean free path in the Color Glass Condensate scenario for heavy ion collisions.

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