BFKL Pomeron and Bern-Dixon-Smirnov amplitudes in N=4 SUSY

Details BFKL Pomeron and Bern-Dixon-Smirnov amplitudes in N=4 SUSY BFKL Pomeron and Bern-Dixon-Smirnov amplitudes in N=4 SUSY

2008-10-21

arxiv.org/abs/0810.3815v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LateX, 2-eps figures; Talk at the International Conference "Quarks-08", May 2008, Sergiev Pasad, Russia

Scientific paper

We review the theoretical approaches for investigations of the high energy hadron-hadron scattering in the Regge kinematics. It is demonstrated, that the gluon in QCD is reggeized and the Pomeron is a composite state of the reggeized gluons. Remarkable properties of the BFKL equation for the Pomeron wave function in QCD and supersymmetric gauge theories are outlined. Due to the AdS/CFT correspondence the BFKL Pomeron is equivalent to the reggeized graviton in the extended N=4 SUSY. The properties of the maximal transcendentality and integrability are realized in this model. The BDS multi-gluon scattering amplitudes are investigated in the Regge limit. They do not contain the Mandelstam cuts and are not valid beyond one loop. It is shown, that the hamiltonian for these composite states coincides with the hamiltonian of an integrable open Heisenberg spin chain.

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