Exact Mass-Coupling Relation for the Homogeneous Sine-Gordon Model

Bajnok, Zoltán and Balog, János and Ito, K. and Satoh, Y. and Tóth, Gábor Zsolt (2016) Exact Mass-Coupling Relation for the Homogeneous Sine-Gordon Model. PHYSICAL REVIEW LETTERS, 116 (18). ISSN 0031-9007

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Abstract

We derive the exact mass-coupling relation of the simplest multi-scale quantum integrable model, i.e., the homogeneous sine-Gordon model with two mass scales. The relation is obtained by com- paring the perturbed conformal field theory description of the model valid at short distances to the large distance bootstrap description based on the model’s integrability. In particular, we find a differential equation for the relation by constructing conserved tensor currents which satisfy a generalization of the Θ sum rule Ward identity. The mass-coupling relation is written in terms of hypergeometric functions.

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