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arXiv · 0806.1085

Finite-size Effects for Single Spike

Changrim Ahn·P. Bozhilov
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Abstract

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-Δϕ" relation for both R_t x S^2 and R_t x S^3 cases.

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Changrim Ahn, P. Bozhilov. 2008-07-16. Finite-size Effects for Single Spike. https://doi.org/10.1088/1126-6708%2F2008%2F07%2F105

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