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Towards an explicit construction of local observables in integrable quantum field theories

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Towards an explicit construction of local observables in integrable quantum field theories. / Bostelmann, Henning; Cadamuro, Daniela.

In: Annales Henri Poincare, Vol. 20, No. 12, 26.11.2019, p. 3889-3926.

Research output: Contribution to journalArticle

Harvard

Bostelmann, H & Cadamuro, D 2019, 'Towards an explicit construction of local observables in integrable quantum field theories', Annales Henri Poincare, vol. 20, no. 12, pp. 3889-3926. https://doi.org/10.1007/s00023-019-00847-7

APA

Bostelmann, H., & Cadamuro, D. (2019). Towards an explicit construction of local observables in integrable quantum field theories. Annales Henri Poincare, 20(12), 3889-3926. https://doi.org/10.1007/s00023-019-00847-7

Vancouver

Bostelmann H, Cadamuro D. Towards an explicit construction of local observables in integrable quantum field theories. Annales Henri Poincare. 2019 Nov 26;20(12):3889-3926. https://doi.org/10.1007/s00023-019-00847-7

Author

Bostelmann, Henning ; Cadamuro, Daniela. / Towards an explicit construction of local observables in integrable quantum field theories. In: Annales Henri Poincare. 2019 ; Vol. 20, No. 12. pp. 3889-3926.

Bibtex - Download

@article{98751cc5fd00489d92d46f4950d5e452,
title = "Towards an explicit construction of local observables in integrable quantum field theories",
abstract = "We present a new viewpoint on the construction of pointlike local fields in integrable models of quantum field theory. As usual, we define these local observables by their form factors; but rather than exhibiting their n-point functions and verifying the Wightman axioms, we aim to establish them as closed operators affiliated with a net of local von Neumann algebras, which is defined indirectly via wedge-local quantities. We also investigate whether these fields have the Reeh-Schlieder property, and in which sense they generate the net of algebras. Our investigation focuses on scalar models without bound states. We establish sufficient criteria for the existence of averaged fields as closable operators, and complete the construction in the specific case of the massive Ising model.",
author = "Henning Bostelmann and Daniela Cadamuro",
note = "{\textcopyright} The Author(s) 2019",
year = "2019",
month = nov,
day = "26",
doi = "10.1007/s00023-019-00847-7",
language = "English",
volume = "20",
pages = "3889--3926",
journal = "Annales Henri Poincare",
issn = "1424-0661",
publisher = "Birkhauser Verlag Basel",
number = "12",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Towards an explicit construction of local observables in integrable quantum field theories

AU - Bostelmann, Henning

AU - Cadamuro, Daniela

N1 - © The Author(s) 2019

PY - 2019/11/26

Y1 - 2019/11/26

N2 - We present a new viewpoint on the construction of pointlike local fields in integrable models of quantum field theory. As usual, we define these local observables by their form factors; but rather than exhibiting their n-point functions and verifying the Wightman axioms, we aim to establish them as closed operators affiliated with a net of local von Neumann algebras, which is defined indirectly via wedge-local quantities. We also investigate whether these fields have the Reeh-Schlieder property, and in which sense they generate the net of algebras. Our investigation focuses on scalar models without bound states. We establish sufficient criteria for the existence of averaged fields as closable operators, and complete the construction in the specific case of the massive Ising model.

AB - We present a new viewpoint on the construction of pointlike local fields in integrable models of quantum field theory. As usual, we define these local observables by their form factors; but rather than exhibiting their n-point functions and verifying the Wightman axioms, we aim to establish them as closed operators affiliated with a net of local von Neumann algebras, which is defined indirectly via wedge-local quantities. We also investigate whether these fields have the Reeh-Schlieder property, and in which sense they generate the net of algebras. Our investigation focuses on scalar models without bound states. We establish sufficient criteria for the existence of averaged fields as closable operators, and complete the construction in the specific case of the massive Ising model.

U2 - 10.1007/s00023-019-00847-7

DO - 10.1007/s00023-019-00847-7

M3 - Article

VL - 20

SP - 3889

EP - 3926

JO - Annales Henri Poincare

JF - Annales Henri Poincare

SN - 1424-0661

IS - 12

ER -