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arXiv · hep-th/9603010

Quantization of Solitons and the Restricted Sine-Gordon Model

O. Babelon·D. Bernard·F. A. Smirnov
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Abstract

We show how to compute form factors, matrix elements of local fields, in the restricted sine-Gordon model, at the reflectionless points, by quantizing solitons. We introduce (quantum) separated variables in which the Hamiltonians are expressed in terms of (quantum) tau-functions. We explicitly describe the soliton wave functions, and we explain how the restriction is related to an unusual hermitian structure. We also present a semi-classical analysis which enlightens the fact that the restricted sine-Gordon model corresponds to an analytical continuation of the sine-Gordon model, intermediate between sine-Gordon and KdV.

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O. Babelon, D. Bernard, F. A. Smirnov. 1996-06-12. Quantization of Solitons and the Restricted Sine-Gordon Model. https://doi.org/10.1007/bf02517893

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