The Sine-Gordon Solitons as a N-Body Problem
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We consider the N-soliton solutions in the sine-Gordon model as a N-body problem. This leads to a relativistic generalization of the Calogero model first introduced by Ruijsenaars. We show that the fundamental Poisson bracket of the Lax matrix is quadratic, and the $r$-matrix is a dynamical one. This is in contrast to the Calogero model where the fundamental Poisson bracket of the Lax matrix is linear.
10 pages LATEX SPhT-93-072; LPTHE-93-40
10 pages LATEX SPhT-93-072; LPTHE-93-40