Invariant color calculus and generalized Balitsky-Kovchegov hierarchy

Journal Article · Thu Jan 01 04:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.014020· OSTI ID:21254703

Popov, Alexey V ^[1]

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1. Novgorod State University, B.S.-Peterburgskaya Street 41, 173003 Velikiy Novgorod (Russian Federation)

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 Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner 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.

• OSTI ID: 21254703
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 1 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CASIMIR OPERATORS
COLOR MODEL
DIPOLES
EQUATIONS
GLUONS
NONLINEAR PROBLEMS
REGGE POLES
T CHANNEL
TRANSFORMATIONS