Operator-algebraic construction of the deformed Sine-Gordon model

Abstract

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”.