Invariant color calculus and generalized Balitsky-Kovchegov hierarchy

Details Invariant color calculus and generalized Balitsky-Kovchegov hierarchy Invariant color calculus and generalized Balitsky-Kovchegov hierarchy

2008-05-29

arxiv.org/abs/0805.4504v4

Phys.Rev.D79:014020,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 1 figure; final version, improved English, slyle corrections

Scientific paper

10.1103/PhysRevD.79.014020

We derive generalization of the Balitsky-Kovchegov (BK) equation for a dipole, which consists of a parton and an antiparton of arbitrary charge. At first, we develop one method of indexless transformation of color expressions. The method is based on an evaluation of the Casimir operator on a tensor product. From the JIMWLK equation we derive the evolution equation for a single parton and prove gluon Reggeization in an arbitrary color channel. We show that there is a color duplication of such Regge poles. Higher t-channel color exchange has its own Regge pole, which residue is proportional to the quadratic Casimir. Taking a fundamental representation, we derive the usual BK equation and shed new light on the meaning of linear and nonlinear terms. Finally, we discuss a linearized version of the generalized BK equation.

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