English

Poisson Structures of Calogero-Moser and Ruijsenaars-Schneider Models

Exactly Solvable and Integrable Systems 2014-11-20 v2 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

We examine the Hamiltonian structures of some Calogero-Moser and Ruijsenaars-Schneider N-body integrable models. We propose explicit formulations of the bihamiltonian structures for the discrete models, and field-theoretical realizations of these structures. We discuss the relevance of these realizations as collective-field theory for the discrete models.

Keywords

Cite

@article{arxiv.0912.3468,
  title  = {Poisson Structures of Calogero-Moser and Ruijsenaars-Schneider Models},
  author = {Inês Aniceto and Jean Avan and Antal Jevicki},
  journal= {arXiv preprint arXiv:0912.3468},
  year   = {2014}
}

Comments

15 pages, no figures; v2 references added, typos corrected