Communications in Mathematical Physics

, Volume 357, Issue 1, pp 421–446 | Cite as

The Quantum Sine-Gordon Model in Perturbative AQFT

Open Access


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.


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Authors and Affiliations

  1. 1.University of GöttingenGöttingenGermany
  2. 2.York UniversityYorkUK

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