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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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The Quantum Sine-Gordon model in perturbative AQFT : Convergence of the S-matrix and the interacting current. / Bahns, Dorothea; Rejzner, Katarzyna Anna.

In: Communications in Mathematical Physics, Vol. 357, No. 1, 01.2018, p. 421–446.

Research output: Contribution to journalArticle

Harvard

Bahns, D & Rejzner, KA 2018, 'The Quantum Sine-Gordon model in perturbative AQFT: Convergence of the S-matrix and the interacting current', Communications in Mathematical Physics, vol. 357, no. 1, pp. 421–446. https://doi.org/10.1007/s00220-017-2944-4

APA

Bahns, D., & Rejzner, K. A. (2018). The Quantum Sine-Gordon model in perturbative AQFT: Convergence of the S-matrix and the interacting current. Communications in Mathematical Physics, 357(1), 421–446. https://doi.org/10.1007/s00220-017-2944-4

Vancouver

Bahns D, Rejzner KA. The Quantum Sine-Gordon model in perturbative AQFT: Convergence of the S-matrix and the interacting current. Communications in Mathematical Physics. 2018 Jan;357(1):421–446. https://doi.org/10.1007/s00220-017-2944-4

Author

Bahns, Dorothea ; Rejzner, Katarzyna Anna. / The Quantum Sine-Gordon model in perturbative AQFT : Convergence of the S-matrix and the interacting current. In: Communications in Mathematical Physics. 2018 ; Vol. 357, No. 1. pp. 421–446.

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@article{dd94e582e0574122abafe74afc9728b2,
title = "The Quantum Sine-Gordon model in perturbative AQFT: Convergence of the S-matrix and the interacting current",
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. ",
author = "Dorothea Bahns and Rejzner, {Katarzyna Anna}",
note = "{\textcopyright} The Author(s) 2017",
year = "2018",
month = jan,
doi = "10.1007/s00220-017-2944-4",
language = "English",
volume = "357",
pages = "421–446",
journal = "Communications in Mathematical Physics",
issn = "0010-3616",
publisher = "Springer New York",
number = "1",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - The Quantum Sine-Gordon model in perturbative AQFT

T2 - Convergence of the S-matrix and the interacting current

AU - Bahns, Dorothea

AU - Rejzner, Katarzyna Anna

N1 - © The Author(s) 2017

PY - 2018/1

Y1 - 2018/1

N2 - 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.

AB - 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.

U2 - 10.1007/s00220-017-2944-4

DO - 10.1007/s00220-017-2944-4

M3 - Article

VL - 357

SP - 421

EP - 446

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -