Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-11-20
Nucl.Phys. A692 (2001) 583-645
Physics
High Energy Physics
High Energy Physics - Phenomenology
67 pages, 7 eps figures
Scientific paper
10.1016/S0375-9474(01)00642-X
We consider a nonlinear evolution equation recently proposed to describe the small-$x$ hadronic physics in the regime of very high gluon density. This is a functional Fokker-Planck equation in terms of a classical random color source, which represents the color charge density of the partons with large $x$. In the saturation regime of interest, the coefficients of this equation must be known to all orders in the source strength. In this first paper of a series of two, we carefully derive the evolution equation, via a matching between classical and quantum correlations, and set up the framework for the exact background source calculation of its coefficients. We address and clarify many of the subtleties and ambiguities which have plagued past attempts at an explicit construction of this equation. We also introduce the physical interpretation of the saturation regime at small $x$ as a Color Glass Condensate. In the second paper we shall evaluate the expressions derived here, and compare them to known results in various limits.
Iancu Edmond
Leonidov Andrei
McLerran Larry
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