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On duality and reflection factors for the sinh-Gordon model

E Corrigan
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Abstract

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 $O(β^2)$ in the special set of cases in which the $ϕ\to -ϕ$ 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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E Corrigan. 1997-07-29. On duality and reflection factors for the sinh-Gordon model. https://doi.org/10.1142/s0217751x98001372

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