A proof of fulfillment of the strong bootstrap condition

Details A proof of fulfillment of the strong bootstrap condition A proof of fulfillment of the strong bootstrap condition

2002-06-07

arxiv.org/abs/hep-ph/0206079v2

Nucl.Phys. B640 (2002) 309-330

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages; minor changes in the text in Section 1 (Introduction) and in Section 4 (Discussion); one reference added

Scientific paper

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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