Boundary form factors of the sinh-Gordon model with Dirichlet boundary conditions at the self-dual point

Jun, 2006
14 pages
Published in:
  • J.Phys.A 39 (2006) 11901-11914
e-Print:
Report number:
  • CMS-04-06

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Abstract:
In this manuscript we present a detailed investigation of the form factors of boundary fields of the sinh-Gordon model with a particular type of Dirichlet boundary condition, corresponding to zero value of the sinh-Gordon field at the boundary, at the self-dual point. We follow for this the boundary form factor program recently proposed by Z. Bajnok, L. Palla and G. Takaks in hep-th/0603171, extending the analysis of the boundary sinh-Gordon model initiated there. The main result of the paper is a conjecture for the structure of all n-particle form factors of two particular boundary operators in terms of elementary symmetric polynomials in certain functions of the rapidity variables. In addition, form factors of boundary descendant fields have been constructed
Note:
  • 14 pages LaTex. Version to appear in J. Phys. A Report-no: CMS 04/06
  • 11.15.Tk
  • 11.55.Ds
  • 11.10.Kk
  • integrable models
  • form factors
  • boundary theories
  • sinh-Gordon equation
  • dimension: 2
  • duality
  • boundary condition