An action variable of the sine-Gordon model

Details An action variable of the sine-Gordon model An action variable of the sine-Gordon model

2005-04-05

arxiv.org/abs/hep-th/0504035v5

J.Geom.Phys. 56 (2006) 2429-2445

Physics

High Energy Physics

High Energy Physics - Theory

v3,4: added explanations, discussion of O(N) sigma-model in section 5 v5: correction in the Introduction, small changes

Scientific paper

10.1016/j.geomphys.2006.01.001

It was conjectured that the classical bosonic string in AdS times a sphere has a special action variable which corresponds to the length of the operator on the field theory side. We discuss the analogous action variable in the sine-Gordon model. We explain the relation between this action variable and the Backlund transformations and show that the corresponding hidden symmetry acts on breathers by shifting their phase. It can be considered a nonlinear analogue of splitting the solution of the free field equations into the positive- and negative-frequency part.

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