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arXiv · 1912.11109

Operator-algebraic construction of the deformed Sine-Gordon model

Daniela Cadamuro
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Abstract

We consider the construction of integrable quantum field theories in the operator-algebraic approach, which is based on quantum fields localized in infinitely extended wedge regions. This approach has been successful for the construction of a class of models with scalar $S$-matrices and without bound states. In extension of these results, we apply similar methods to $S$-matrices with poles in the physical strip (``bound states''). Specifically, we consider a deformed version of the Sine-Gordon model, containing only breathers. We exhibit wedge-local fields in this model, which differ from those in non-bound state models by an additive term, the so called ``bound state operator''.

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Daniela Cadamuro. 2019-12-23. Operator-algebraic construction of the deformed Sine-Gordon model. https://doi.org/10.1088/1742-6596%2F1416%2F1%2F012009

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