# Nuclear Physics & RIKEN Theory Seminar

## "Integrability of high energy scattering amplitudes in multi-color QCD and N=4 SUSY"

#### Presented by Lev Lipatov, Petersburg Nuclear Physics Institute (PNPI), Russia

Wednesday, October 28, 2009, 11:00 am — Small Seminar Room, Bldg. 510

The BFKL aproach based on analitycity, unitarity, renormalizability and crossing symmetry of high energy scattering amplitudes is reviewed.

The BKP equations in LLA for the colorless composite states of reggeized gluons in the t'Hooft limit have properties of the Moebius invariance, holomorphic separability, duality and integrability. The BDS ansatz for two gluon production amplitude in N=4 SUSY is shown to be incompatible with the Steinmann relations, which is related to the fact, that this anzatz does not take into account contributions of the Mandelstam cuts. It is shown, that the Hamiltonian for the color octet composite states of several reggeized gluons coincides with the local Hamiltonian of an integrable open Heisenberg spin chain. Analytic properties and an exponentiation hypothesis are enough to calculate production amplitudes in several orders of perturbation theory.

Hosted by: Robert Pisarski

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