### Abstract

We continue the investigation of massive integrable models by means of the bootstrap fusion procedure started in our previous work on the O(3) nonlinear σ model. Using an analogy with the SU(2) Thirring model and the O(3) nonlinear σ model we prove a similar relation between sine-Gordon theory and a one-parameter deformation of the O(3) σ 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.

Original language | English |
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Pages (from-to) | 3272-3284 |

Number of pages | 13 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 53 |

Issue number | 6 |

DOIs | |

Publication status | Published - 1996 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)