Integrable spin chains and scattering amplitudes

J. Bartels, L. N. Lipatov, A. Prygarin

Research output: Contribution to journalReview articlepeer-review

31 Scopus citations


In this review, we show that the multi-particle scattering amplitudes in N = 4 SYM at large Nc and in the multi-Regge kinematics for some physical regions have the high energy behavior appearing from the contribution of the Mandelstam cuts in the complex angular momentum plane of the corresponding t-channel partialwaves. These Mandelstam cuts or Regge cuts result from gluon composite states in the adjoint representation of the gauge group SU(Nc). In the leading logarithmic approximation (LLA), their contribution to the six point amplitude is in full agreement with the known two-loop result. The Hamiltonian for the Mandelstam states constructed from n gluons in LLA coincides with the local Hamiltonian of an integrable open spin chain. We construct the corresponding wavefunctions using the integrals of motion and the BaxterSklyanin approach.

Original languageEnglish
Article number454013
JournalJournal of Physics A: Mathematical and Theoretical
Issue number45
StatePublished - 11 Nov 2011
Externally publishedYes


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