Quantization of Solitons and the Restricted Sine-Gordon Model

Details Quantization of Solitons and the Restricted Sine-Gordon Model Quantization of Solitons and the Restricted Sine-Gordon Model

1996-03-04

arxiv.org/abs/hep-th/9603010v2

Commun.Math.Phys.182:319-354,1996

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, Latex, minor updating

Scientific paper

10.1007/BF02517893

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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