Invariant color calculus and generalized Balitsky-Kovchegov hierarchy
- 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, Vol. 79, Issue 1; Other Information: DOI: 10.1103/PhysRevD.79.014020; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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