Quantization of solitons and the restricted sine-Gordon model

1996/03/31 by O. Babelon, D. Bernard, Denis Bernard +2 · 5 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1007/bf02517893

published as Commun.Math.Phys.182:319-354,1996 · 29 pages, Latex, minor updating

arxiv created 1996/06/12 · openalex publication_date 1996/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Infinite conformal symmetry in two-dimensional quantum field theory

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