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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2016 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147865 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862723277917519872 |
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| author | Tanimoto, Y. |
| author_facet | Tanimoto, Y. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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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| first_indexed | 2025-12-07T18:40:27Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-147865 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:40:27Z |
| publishDate | 2016 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories Tanimoto, Y. |
| title | 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_short | Bound State Operators and Wedge-Locality in Integrable Quantum Field Theories |
| title_sort | bound state operators and wedge-locality in integrable quantum field theories |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147865 |
| work_keys_str_mv | AT tanimotoy boundstateoperatorsandwedgelocalityinintegrablequantumfieldtheories |