Finite-size Effects for Single Spike

Details Finite-size Effects for Single Spike Finite-size Effects for Single Spike

2008-06-06

arxiv.org/abs/0806.1085v3

JHEP 0807:105,2008

Physics

High Energy Physics

High Energy Physics - Theory

minor improvements;27 pages;to be published in JHEP

Scientific paper

10.1088/1126-6708/2008/07/105

We use the reduction of the string dynamics on R_t x S^3 to the Neumann-Rosochatius integrable system to map all string solutions described by this dynamical system onto solutions of the complex sine-Gordon integrable model. This mapping relates the parameters in the solutions on both sides of the correspondence. In the framework of this approach, we find finite-size string solutions, their images in the (complex) sine-Gordon system, and the leading finite-size effects of the single spike "E-\Delta\phi" relation for both R_t x S^2 and R_t x S^3 cases.

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