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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2006 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2006
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146085 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-146085 |
|---|---|
| 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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
The form factor program: a review and new results − the nested SU(N) off-shell Bethe ansatz |
| 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_short |
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_sort |
form factor program: a review and new results − the nested su(n) off-shell bethe ansatz |
| author |
Babujian, H.M. Foerster, A. Karowski, M. |
| author_facet |
Babujian, H.M. Foerster, A. Karowski, M. |
| publishDate |
2006 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146085 |
| 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. |
| work_keys_str_mv |
AT babujianhm theformfactorprogramareviewandnewresultsthenestedsunoffshellbetheansatz AT foerstera theformfactorprogramareviewandnewresultsthenestedsunoffshellbetheansatz AT karowskim theformfactorprogramareviewandnewresultsthenestedsunoffshellbetheansatz AT babujianhm formfactorprogramareviewandnewresultsthenestedsunoffshellbetheansatz AT foerstera formfactorprogramareviewandnewresultsthenestedsunoffshellbetheansatz AT karowskim formfactorprogramareviewandnewresultsthenestedsunoffshellbetheansatz |
| first_indexed |
2025-12-07T19:23:52Z |
| last_indexed |
2025-12-07T19:23:52Z |
| _version_ |
1850878651555381248 |