Remarks on high energy evolution
Author(s) -
Alex Kovner,
Michael Lublinsky
Publication year - 2005
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2005/03/001
Subject(s) - projectile , hierarchy , superposition principle , statistical physics , wave function , simple (philosophy) , function (biology) , physics , mathematics , discrete dipole approximation , dipole , mathematical analysis , classical mechanics , quantum mechanics , philosophy , epistemology , evolutionary biology , economics , market economy , biology
We make several remarks on the B-JIMWLK hierarchy. First, we present a simpleand instructive derivation of this equation by considering an arbitraryprojectile wave function with small number of valence gluons. We alsogeneralize the equation by including corrections which incorporate effects ofhigh density in the projectile wave function. Second, we systematically derivethe dipole model approximation to the hierarchy. We show that in the dipoleapproximation the hierarchy has a simplifying property that allows its solutionby solving the classical equation followed by averaging over the ensemble ofinitial conditions.Comment: 8 pages, references added. Version to appear in JHE
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