Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories
We consider scalar two-dimensional quantum field theories with a factorizing S-matrix which has poles in the physical strip. In our previous work, we introduced the bound state operators and constructed candidate operators for observables in wedges. Under some additional assumptions on the S-matrix,...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2016
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| Zitieren: | Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories / Y. Tanimoto // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 35 назв. — англ. |
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Tanimoto, Y. 2019-02-16T09:33:27Z 2019-02-16T09:33:27Z 2016 Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories / Y. Tanimoto // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 35 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81T05; 81T40; 81U40 DOI:10.3842/SIGMA.2016.100 https://nasplib.isofts.kiev.ua/handle/123456789/147865 We consider scalar two-dimensional quantum field theories with a factorizing S-matrix which has poles in the physical strip. In our previous work, we introduced the bound state operators and constructed candidate operators for observables in wedges. Under some additional assumptions on the S-matrix, we show that, in order to obtain their strong commutativity, it is enough to prove the essential self-adjointness of the sum of the left and right bound state operators. This essential self-adjointness is shown up to the two-particle component. I owe some ideas of Lemmas 4.1 and 4.4 to Henning Bostelmann and the counterexample in Section B.1 to Ludvig D. Faddeev. I am grateful to Marcel Bischof f, Henning Bostelmann, Detlev Buchholz, Daniela Cadamuro, Sebastiano Carpi, Wojciech Dybalski, Luca Giorgetti, Gandalf Lechner, Roberto Longo, Karl-Henning Rehren and Bert Schroer for their interesting discussions and encouraging comments. I appreciate the careful reading and useful suggestions by the referee. I am supported by Grant-in-Aid for JSPS fellows 25-205. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories |
| spellingShingle |
Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories Tanimoto, Y. |
| title_short |
Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories |
| title_full |
Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories |
| title_fullStr |
Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories |
| title_full_unstemmed |
Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories |
| title_sort |
bound state operators and wedge-locality in integrable quantum field theories |
| author |
Tanimoto, Y. |
| author_facet |
Tanimoto, Y. |
| publishDate |
2016 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We consider scalar two-dimensional quantum field theories with a factorizing S-matrix which has poles in the physical strip. In our previous work, we introduced the bound state operators and constructed candidate operators for observables in wedges. Under some additional assumptions on the S-matrix, we show that, in order to obtain their strong commutativity, it is enough to prove the essential self-adjointness of the sum of the left and right bound state operators. This essential self-adjointness is shown up to the two-particle component.
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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147865 |
| citation_txt |
Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories / Y. Tanimoto // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 35 назв. — англ. |
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AT tanimotoy boundstateoperatorsandwedgelocalityinintegrablequantumfieldtheories |
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2025-12-07T18:40:27Z |
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2025-12-07T18:40:27Z |
| _version_ |
1850875919240003584 |