Research output: Contribution to journal › Article

**The Quantum Sine-Gordon model in perturbative AQFT : Convergence of the S-matrix and the interacting current.** / Bahns, Dorothea; Rejzner, Katarzyna Anna.

Research output: Contribution to journal › Article

Bahns, D & Rejzner, KA 2018, 'The Quantum Sine-Gordon model in perturbative AQFT: Convergence of the S-matrix and the interacting current', *Communications in Mathematical Physics*, vol. 357, no. 1, pp. 421–446. https://doi.org/10.1007/s00220-017-2944-4

Bahns, D., & Rejzner, K. A. (2018). The Quantum Sine-Gordon model in perturbative AQFT: Convergence of the S-matrix and the interacting current. *Communications in Mathematical Physics*, *357*(1), 421–446. https://doi.org/10.1007/s00220-017-2944-4

Bahns D, Rejzner KA. The Quantum Sine-Gordon model in perturbative AQFT: Convergence of the S-matrix and the interacting current. Communications in Mathematical Physics. 2018 Jan;357(1):421–446. https://doi.org/10.1007/s00220-017-2944-4

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title = "The Quantum Sine-Gordon model in perturbative AQFT: Convergence of the S-matrix and the interacting current",

abstract = "We study the Sine-Gordon model with Minkowski signature in the framework of perturbative algebraic quantum field theory. We calculate the vertex operator algebra braiding property. We prove that in the finite regime of the model, the expectation value - with respect to the vacuum or a Hadamard state - of the Epstein Glaser S-matrix and the interacting current or the field respectively, both given as formal power series, converge. ",

author = "Dorothea Bahns and Rejzner, {Katarzyna Anna}",

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AB - We study the Sine-Gordon model with Minkowski signature in the framework of perturbative algebraic quantum field theory. We calculate the vertex operator algebra braiding property. We prove that in the finite regime of the model, the expectation value - with respect to the vacuum or a Hadamard state - of the Epstein Glaser S-matrix and the interacting current or the field respectively, both given as formal power series, converge.

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