The sine-Gordon solitons as an N-body problem
Abstract
We consider the N-soliton solutions in the sine-Gordon model as an 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.
- Publication:
-
Physics Letters B
- Pub Date:
- November 1993
- DOI:
- 10.1016/0370-2693(93)91009-C
- arXiv:
- arXiv:hep-th/9309154
- Bibcode:
- 1993PhLB..317..363B
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 10 pages LATEX SPhT-93-072