The Quantum Sine-Gordon model in perturbative AQFT

Dorothea Bahns, Katarzyna Anna Rejzner

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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 converge, both given as formal power series.

Original languageEnglish
Pages (from-to)421–446
Number of pages26
JournalCommunications in Mathematical Physics
Early online date23 Aug 2017
Publication statusPublished - Jan 2018

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© The Author(s) 2017

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