Remarks on High Energy Evolution

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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8 pages, references added. Version to appear in JHEP

Scientific paper

10.1088/1126-6708/2005/03/001

We make several remarks on the B-JIMWLK hierarchy. First, we present a simple and instructive derivation of this equation by considering an arbitrary projectile wave function with small number of valence gluons. We also generalize the equation by including corrections which incorporate effects of high density in the projectile wave function. Second, we systematically derive the dipole model approximation to the hierarchy. We show that in the dipole approximation the hierarchy has a simplifying property that allows its solution by solving the classical equation followed by averaging over the ensemble of initial conditions.

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