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

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JournalCommunications in Mathematical Physics
DateAccepted/In press - 14 Feb 2017
DateE-pub ahead of print (current) - 23 Aug 2017
Number of pages26
Early online date23/08/17
Original languageEnglish

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.

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© The Author(s) 2017

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