On duality and reflection factors for the sinh-Gordon model

Details On duality and reflection factors for the sinh-Gordon model On duality and reflection factors for the sinh-Gordon model

1997-07-29

arxiv.org/abs/hep-th/9707235v1

Int.J.Mod.Phys. A13 (1998) 2709-2722

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, harvmac(b)

Scientific paper

10.1142/S0217751X98001372

The sinh-Gordon model with integrable boundary conditions is considered in low order perturbation theory. It is pointed out that results obtained by Ghoshal for the sine-Gordon breather reflection factors suggest an interesting dual relationship between models with different boundary conditions. Ghoshal's formula for the lightest breather is checked perturbatively to $O(\beta^2)$ in the special set of cases in which the $\phi\to -\phi$ symmetry is maintained. It is noted that the parametrisation of the boundary potential which is natural for the semi-classical approximation also provides a good parametrisation at the `free-fermion' point.

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