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

Castro-Alvaredo, O. (2006). Boundary form factors of the sinh-Gordon model with Dirichlet boundary conditions at the self-dual point. Journal of Physics A: Mathematical and General, 39(38), pp. 11901-11914. doi: 10.1088/0305-4470/39/38/016

Abstract

In this paper 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 Takacs (2006 On the boundary form factor program Preprint 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 the boundary operators ∂x and (∂x)2 in terms of elementary symmetric polynomials in certain functions of the rapidity variables. In addition, form factors of boundary 'descendant' fields have been constructed.

Publication Type: Article
Publisher Keywords: QUANTUM-FIELD-THEORY, 2-POINT CORRELATION-FUNCTION, STRESS-ENERGY TENSOR, S-MATRIX, DESCENDANT OPERATORS, MAGNETIC-FIELD, ISING-MODEL, SYSTEMS, SU(2)(K)/SU(2)(2K+1), SCATTERING
Subjects: Q Science > QC Physics
Departments: School of Science & Technology > Mathematics
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