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arXiv · hep-th/9408004

The boundary sine-Gordon theory: classical and semi-classical analysis

H. Saleur·S. Skorik·N. P. Warner
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Abstract

We consider the sine-Gordon model on a half-line, with an additional potential term of the form $-M\cos{β\over 2}(φ-φ_0)$ at the boundary. We compute the classical time delay for general values of $M$, $β$ and $φ_0$ using $τ$-function methods and show that in the classical limit, the method of images still works, despite the non-linearity of the problem. We also perform a semi-classical analysis, and find agreement with the exact quantum S-matrix conjectured by Ghoshal and Zamolodchikov.

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H. Saleur, S. Skorik, N. P. Warner. 1994-08-12. The boundary sine-Gordon theory: classical and semi-classical analysis. https://doi.org/10.1016/0550-3213(95)00021-j

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