The form factor program: a review and new results − the nested SU(N) off-shell Bethe ansatz
The purpose of the ''bootstrap program'' for integrable quantum field theories in 1+1 dimensions is to construct explicitly a model in terms of its Wightman functions. In this article, this program is mainly illustrated in terms of the sinh-Gordon model and the SU(N) Gross-Neveu...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2006 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2006
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146085 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The form factor program: a review and new results − the nested SU(N) off-shell Bethe ansatz / H.M. Babujian, A. Foerster, M. Karowski // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 54 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862731093133754368 |
|---|---|
| author | Babujian, H.M. Foerster, A. Karowski, M. |
| author_facet | Babujian, H.M. Foerster, A. Karowski, M. |
| citation_txt | The form factor program: a review and new results − the nested SU(N) off-shell Bethe ansatz / H.M. Babujian, A. Foerster, M. Karowski // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 54 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The purpose of the ''bootstrap program'' for integrable quantum field theories in 1+1 dimensions is to construct explicitly a model in terms of its Wightman functions. In this article, this program is mainly illustrated in terms of the sinh-Gordon model and the SU(N) Gross-Neveu model. The nested off-shell Bethe ansatz for an SU(N) factorizing S-matrix is constructed. We review some previous results on sinh-Gordon form factors and the quantum operator field equation. The problem of how to sum over intermediate states is considered in the short distance limit of the two point Wightman function for the sinh-Gordon model.
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| first_indexed | 2025-12-07T19:23:52Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146085 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:23:52Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Babujian, H.M. Foerster, A. Karowski, M. 2019-02-07T09:11:19Z 2019-02-07T09:11:19Z 2006 The form factor program: a review and new results − the nested SU(N) off-shell Bethe ansatz / H.M. Babujian, A. Foerster, M. Karowski // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 54 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81T08; 81T10; 81T40 https://nasplib.isofts.kiev.ua/handle/123456789/146085 The purpose of the ''bootstrap program'' for integrable quantum field theories in 1+1 dimensions is to construct explicitly a model in terms of its Wightman functions. In this article, this program is mainly illustrated in terms of the sinh-Gordon model and the SU(N) Gross-Neveu model. The nested off-shell Bethe ansatz for an SU(N) factorizing S-matrix is constructed. We review some previous results on sinh-Gordon form factors and the quantum operator field equation. The problem of how to sum over intermediate states is considered in the short distance limit of the two point Wightman function for the sinh-Gordon model. This paper is a contribution to the Proceedings of the O’Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 22–24, 2006, Budapest, Hungary). H.B. was supported partially by the grant Volkswagenstiftung within in the project “Nonperturbative aspects of quantum field theory in various space-time dimensions”. H.B. also acknowledges to ICTP condensed matter group for hospitality, where part of this work was done. A.F. acknowledges support from PRONEX under contract CNPq 66.2002/1998-99 and CNPq (Conselho Nacional de Desenvolvimento Cient´ıfico e Tecnol´ogico). This work is also supported by the EU network EUCLID, ’Integrable models and applications: from strings to condensed matter’, HPRN-CT-2002-00325. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The form factor program: a review and new results − the nested SU(N) off-shell Bethe ansatz Article published earlier |
| spellingShingle | The form factor program: a review and new results − the nested SU(N) off-shell Bethe ansatz Babujian, H.M. Foerster, A. Karowski, M. |
| title | The form factor program: a review and new results − the nested SU(N) off-shell Bethe ansatz |
| title_full | The form factor program: a review and new results − the nested SU(N) off-shell Bethe ansatz |
| title_fullStr | The form factor program: a review and new results − the nested SU(N) off-shell Bethe ansatz |
| title_full_unstemmed | The form factor program: a review and new results − the nested SU(N) off-shell Bethe ansatz |
| title_short | The form factor program: a review and new results − the nested SU(N) off-shell Bethe ansatz |
| title_sort | form factor program: a review and new results − the nested su(n) off-shell bethe ansatz |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146085 |
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