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The Quantum Sine-Gordon model in perturbative AQFT

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OASW03 - Subfactors, K-theory and conformal field theory

Co-author: Dorothea Bahns (University of Goettingen)

In this talk I will present recent results on the convergence of the formal S-matrix and interacting currents in the Sine-Gordon model in 2 dimensions, obtained directly in Minkowski signature, using a class of Hadamard states. In our approach one starts with a perturbation series obtained from the formalism of perturbative AQFT and then one can prove the convergence of the series by some simple estimates. Our result opens the posibility to use pAQFT methods to study integrable models in 2 dimensions and to construct local observables in such models.

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