# The Quantum Sine Gordon model in perturbative AQFT

September 27, 2016

We study the Sine Gordon model in the framework of perturbative algebraic
quantum field theory, without making use of a representation on Fock space. In
particular, we calculate the vertex operator algebra braiding property. We
prove that in the finite regime of the model, the vacuum expectation value of
the Epstein Glaser S-matrix and the interacting current, both given as formal
power series, converge in a suitable topology on the space of functionals.

open access link
doi:10.1007/s00220-017-2944-4

@article{Bahns:2016zqj,
author = "Bahns, Dorothea and Rejzner, Kasia",
title = "{The Quantum Sine Gordon model in perturbative AQFT}",
journal = "Commun. Math. Phys.",
volume = "357",
year = "2018",
number = "1",
pages = "421-446",
doi = "10.1007/s00220-017-2944-4",
eprint = "1609.08530",
archivePrefix = "arXiv",
primaryClass = "math-ph",
SLACcitation = "%%CITATION = ARXIV:1609.08530;%%"
}

Keywords:

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