The k-folded sine-Gordon model in finite volume

Details The k-folded sine-Gordon model in finite volume The k-folded sine-Gordon model in finite volume

2000-04-26

arxiv.org/abs/hep-th/0004181v2

Nucl.Phys. B587 (2000) 585-618

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, 11 eps figures, LaTeX2e with amssymb.sty. A reference and a preprint number added

Scientific paper

10.1016/S0550-3213(00)00441-7

We consider the k-folded sine-Gordon model, obtained from the usual version by identifying the scalar field after k periods of the cosine potential. We examine (1) the ground state energy split, (2) the lowest lying multi-particle state spectrum and (3) vacuum expectation values of local fields in finite spatial volume, combining the Truncated Conformal Space Approach, the method of the Destri-de Vega nonlinear integral equation (NLIE) and semiclassical instanton calculations. We show that the predictions of all these different methods are consistent with each other and in particular provide further support for the NLIE method in the presence of a twist parameter. It turns out that the model provides an optimal laboratory for examining instanton contributions beyond the dilute instanton gas approximation. We also provide evidence for the exact formula for the vacuum expectation values conjectured by Lukyanov and Zamolodchikov.

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