A nonlocal Poisson bracket of the sine-Gordon model

Details A nonlocal Poisson bracket of the sine-Gordon model A nonlocal Poisson bracket of the sine-Gordon model

2005-11-07

arxiv.org/abs/hep-th/0511069v3

J.Geom.Phys.61:85-94,2011

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, LaTeX, v2,3: added Section 4 and references

Scientific paper

10.1016/j.geomphys.2010.05.011

It is well known that the classical string on a two-sphere is more or less equivalent to the sine-Gordon model. We consider the nonabelian dual of the classical string on a two-sphere. We show that there is a projection map from the phase space of this model to the phase space of the sine-Gordon model. The corresponding Poisson structure of the sine-Gordon model is nonlocal with one integration.

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