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arXiv · hep-ph/0206079

A proof of fulfillment of the strong bootstrap condition

V. S. Fadin·A. Papa
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Abstract

It is shown that the kernel of the BFKL equation for the octet color state of two Reggeized gluons satisfies the strong bootstrap condition in the next-to-leading order. This condition is much more restrictive than the one obtained from the requirement of Reggeized form for the elastic scattering amplitudes in the next-to-leading approximation. It is necessary, however, for self-consistency of the assumption of Reggeized form of the production amplitudes in multi-Regge kinematics, which are used in the derivation of the BFKL equation. The fulfillment of the strong bootstrap condition for the kernel opens a way to a rigorous proof of the BFKL equation in the next-to-leading approximation.

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V. S. Fadin, A. Papa. 2002-06-10. A proof of fulfillment of the strong bootstrap condition. https://doi.org/10.1016/s0550-3213(02)00579-5

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