Boundary breathers in the sinh-Gordon model

Details Boundary breathers in the sinh-Gordon model Boundary breathers in the sinh-Gordon model

1999-09-21

arxiv.org/abs/hep-th/9909145v1

J.Phys.A32:8601-8614,1999

Physics

High Energy Physics

High Energy Physics - Theory

16 pages amslatex

Scientific paper

10.1088/0305-4470/32/49/303

We present an investigation of the boundary breather states of the sinh-Gordon model restricted to a half-line. The classical boundary breathers are presented for a two parameter family of integrable boundary conditions. Restricting to the case of boundary conditions which preserve the \phi --> -\phi symmetry of the bulk theory, the energy spectrum of the boundary states is computed in two ways: firstly, by using the bootstrap technique and subsequently, by using a WKB approximation. Requiring that the two descriptions of the spectrum agree with each other allows a determination of the relationship between the boundary parameter, the bulk coupling constant, and the parameter appearing in the reflection factor derived by Ghoshal to describe the scattering of the sinh-Gordon particle from the boundary.

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