The Classical $r$-Matrix for the Relativistic Ruijsenaars-Schneider System

Details The Classical $r$-Matrix for the Relativistic Ruijsenaars-Schneider System The Classical $r$-Matrix for the Relativistic Ruijsenaars-Schneider System

1995-10-23

arxiv.org/abs/hep-th/9510166v1

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, no figures, 8 pages

Scientific paper

10.1016/0375-9601(96)00068-0

We compute the classical $r$-matrix for the relativistic generalization of
the Calogero-Moser model, or Ruijsenaars-Schneider model, at all values of the
speed-of-light parameter $\lambda$. We connect it with the non-relativistic
Calogero-Moser $r$-matrix $(\lambda \rightarrow -1)$ and the $\lambda = 1$
sine-Gordon soliton limit.

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