The Sine-Gordon Solitons as a N-Body Problem

Details The Sine-Gordon Solitons as a N-Body Problem The Sine-Gordon Solitons as a N-Body Problem

1993-09-28

arxiv.org/abs/hep-th/9309154v1

Phys.Lett.B317:363-368,1993

Physics

High Energy Physics

High Energy Physics - Theory

10 pages LATEX SPhT-93-072; LPTHE-93-40

Scientific paper

10.1016/0370-2693(93)91009-C

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.

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