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

Journal Article · Fri Mar 01 00:00:00 EST 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.53.3272· OSTI ID:279215

Horvath, Z ^[1]; Takacs, G ^[2]

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1. Institute for Theoretical Physics, Roland Eoetvoes University, Budapest (Hungary)
2. Department of Applied Mathematics and Theoretical Physics, Cambridge (United Kingdom)

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 {sigma} model. Using an analogy with the 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. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 279215
• Journal Information: Physical Review, D, Vol. 53, Issue 6; Other Information: PBD: Mar 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
SIGMA MODEL
FORM FACTORS
SINE-GORDON EQUATION
BOOTSTRAP MODEL
DEFORMATION
HEAVY ION FUSION REACTIONS
O GROUPS
SINGULARITY
SU GROUPS
THIRRING MODEL