English

The Lax pair for C_2-type Ruijsenaars-Schneider model

High Energy Physics - Theory 2009-10-31 v2

Abstract

We study the C_2 Ruijsenaars-Schneider(RS) model with interaction potential of trigonometric type. The Lax pairs for the model with and without spectral parameter are constructed. Also given are the involutive Hamiltonians for the system. Taking nonrelativistic limit, we obtain the Lax pair of C_2 Calogero-Moser model.

Cite

@article{arxiv.hep-th/0004006,
  title  = {The Lax pair for C_2-type Ruijsenaars-Schneider model},
  author = {Kai Chen and Bo-yu Hou and Wen-Li Yang},
  journal= {arXiv preprint arXiv:hep-th/0004006},
  year   = {2009}
}

Comments

LaTeX2e, 10 pages, some misprints corrected and sections rearranged

R2 v1 2026-07-22T14:57:30.407Z