Integrability of high energy scattering amplitudes in N=4 SUSY

by Lev Lipatov

Tuesday 24 Aug 2010, 14:00 → 15:00 Europe/Zurich

TH Theory Conference Room (CERN)

I remind the theory of high energy processes at gauge theories and in gravity based on the gluon and graviton reggeization. In gauge theories the Pomeron and other colorless reggeons appear as composite states of gluons. The equations for the corresponding wave functions turn out to be integrable at large N_c limit. It is shown, that in the planar approximation the inelastic amplitudes in the multi-Regge kinematics should have apart from Regge poles also Mandelstam cut contributions. The equation for the corresponding composite states in the adjoint representation coincides with the Schroedinger equation for an open integrable Heisenberg spin chain. It is shown, that the method based on calculation of the Mandelstam cut contributions for MHV case in N=4 SUSY is in an agreement with the popular Wilson loop approach.