Extension of the JIMWLK Equation in the Low Gluon Density Region

Details Extension of the JIMWLK Equation in the Low Gluon Density Region Extension of the JIMWLK Equation in the Low Gluon Density Region

2005-01-11

arxiv.org/abs/hep-ph/0501088v3

Nucl.Phys. B715 (2005) 440-460

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, 1 figure, corrected typos, corrected references, published version

Scientific paper

10.1016/j.nuclphysb.2005.03.002

It has recently been realized that the Balitsky-JIMWLK equations have serious shortcomings as equations to be used in small-x evolution near the unitarity limit. A recent generalization of the Balitsky equations has been given which corrects these shortcomings. In this paper we present an equivalent discussion, but in terms of the JIMWLK equation where we show that a new (fourth order functional derivative) term should be included. We also present a stochastic version of the new equation which, however, has some unusual mathematical aspects which are not as yet well understood.

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