The Quantum Sine-Gordon Model in Perturbative AQFT

@article{Bahns2016TheQS,
  title={The Quantum Sine-Gordon Model in Perturbative AQFT},
  author={D. Bahns and K. Rejzner},
  journal={Communications in Mathematical Physics},
  year={2016},
  volume={357},
  pages={421-446}
}
  • D. Bahns, K. Rejzner
  • Published 2016
  • Mathematics, Physics
  • Communications in Mathematical Physics
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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