Form-factors of the sausage model obtained with bootstrap fusion from sine-Gordon theory

Details Form-factors of the sausage model obtained with bootstrap fusion from sine-Gordon theory Form-factors of the sausage model obtained with bootstrap fusion from sine-Gordon theory

1996-01-10

arxiv.org/abs/hep-th/9601040v2

Phys.Rev. D53 (1996) 3272-3284

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, revtex; references added, some typos corrected. Accepted for publication in Physical Review D

Scientific paper

10.1103/PhysRevD.53.3272

We continue the investigation of massive integrable models by means of the bootstrap fusion procedure, started in our previous work on O(3) nonlinear sigma model. Using the analogy with SU(2) Thirring model and the O(3) nonlinear sigma model we prove a similar relation between sine-Gordon theory and a one-parameter deformation of the O(3) sigma model, the sausage model. This allows us to write down a free field representation for the Zamolodchikov-Faddeev algebra of the sausage model and to construct an integral representation for the generating functions of form-factors in this theory. We also clear up the origin of the singularities in the bootstrap construction and the reason for the problem with the kinematical poles.

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