English

On the equivalence theorem for integrable systems

High Energy Physics - Theory 2015-03-10 v1

Abstract

We investigate the equivalence theorem for integrable systems using two formulations of the Alday-Arutyunov-Frolov model. We show that the S-matrix is invariant under the field transformation which reduces the non-linear Dirac brackets of one formulation into the standard commutation relations in the second formulation. We also explain how to perform the direct diagonalization of the transformed Hamiltonian by constructing the states corresponding to self-adjoint extensions.

Keywords

Cite

@article{arxiv.1412.1288,
  title  = {On the equivalence theorem for integrable systems},
  author = {A. Melikyan and E. Pereira and V. O. Rivelles},
  journal= {arXiv preprint arXiv:1412.1288},
  year   = {2015}
}

Comments

27 pages

R2 v1 2026-06-22T07:18:58.421Z