The sineGordon solitons as an Nbody problem
Abstract
We consider the Nsoliton solutions in the sineGordon model as an Nbody 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 rmatrix 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:
 10.1016/03702693(93)91009C
 arXiv:
 arXiv:hepth/9309154
 Bibcode:
 1993PhLB..317..363B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 10 pages LATEX SPhT93072