BK equation and traveling wave solutions

AUTOR(ES)

Amaral, J. T. de Santana, Betemps, M. A., Gay Ducati, M. B., Soyez, G.

FONTE

Brazilian Journal of Physics

DATA DE PUBLICAÇÃO

2007-07

RESUMO

It has been shown that the transition to the saturation regime of high energy QCD is similar to the formation of the front of a traveling wave. In particular, it can be verified that Balitsky-Kovchegov (BK) evolution equation reduces, after some approximations, to the nonlinear Fisher and Kolmogorov-Petrovsky-Piscounov (FKPP) equation, well-known from statistical physics. In these proceedings, based on the current knowledge of the asymptotic solutions of the BK equation, we propose a parametrization for the forward scattering amplitude which interpolates between the traveling wave solution and the saturation region.

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