The Dn Ruijsenaars-Schneider model
High Energy Physics - Theory
2012-10-30 v2
Abstract
The Lax pair of the Ruijsenaars-Schneider model with interaction potential of trigonometric type based on Dn Lie algebra is presented. We give a general form for the Lax pair and prove partial results for small n. Liouville integrability of the corresponding system follows a series of involutive Hamiltonians generated by the characteristic polynomial of the Lax matrix. The rational case appears as a natural degeneration and the nonrelativistic limit exactly leads to the well-known Calogero-Moser system associated with Dn Lie algebra.
Keywords
Cite
@article{arxiv.hep-th/0102036,
title = {The Dn Ruijsenaars-Schneider model},
author = {Kai Chen and Bo-yu Hou},
journal= {arXiv preprint arXiv:hep-th/0102036},
year = {2012}
}
Comments
LaTeX2e, 14 pages; more remarks are added in the last section