Finite-Temperature Form Factors: a Review
We review the concept of finite-temperature form factor that was introduced recently by the author in the context of the Majorana theory. Finite-temperature form factors can be used to obtain spectral decompositions of finite-temperature correlation functions in a way that mimics the form-factor exp...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2007 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2007
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147799 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Finite-Temperature Form Factors: a Review / B. Doyon // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 49 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862540805162401792 |
|---|---|
| author | Doyon, B. |
| author_facet | Doyon, B. |
| citation_txt | Finite-Temperature Form Factors: a Review / B. Doyon // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 49 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We review the concept of finite-temperature form factor that was introduced recently by the author in the context of the Majorana theory. Finite-temperature form factors can be used to obtain spectral decompositions of finite-temperature correlation functions in a way that mimics the form-factor expansion of the zero temperature case. We develop the concept in the general factorised scattering set-up of integrable quantum field theory, list certain expected properties and present the full construction in the case of the massive Majorana theory, including how it can be applied to the calculation of correlation functions in the quantum Ising model. In particular, we include the ''twisted construction'', which was not developed before and which is essential for the application to the quantum Ising model.
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| first_indexed | 2025-11-24T16:09:10Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147799 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T16:09:10Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Doyon, B. 2019-02-16T08:25:08Z 2019-02-16T08:25:08Z 2007 Finite-Temperature Form Factors: a Review / B. Doyon // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 49 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81T40 https://nasplib.isofts.kiev.ua/handle/123456789/147799 We review the concept of finite-temperature form factor that was introduced recently by the author in the context of the Majorana theory. Finite-temperature form factors can be used to obtain spectral decompositions of finite-temperature correlation functions in a way that mimics the form-factor expansion of the zero temperature case. We develop the concept in the general factorised scattering set-up of integrable quantum field theory, list certain expected properties and present the full construction in the case of the massive Majorana theory, including how it can be applied to the calculation of correlation functions in the quantum Ising model. In particular, we include the ''twisted construction'', which was not developed before and which is essential for the application to the quantum Ising 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). I am grateful to F. Essler for many useful discussions and continued interest in this work, and to A. Gamsa for reading through the manuscript. I would like to acknowledge support from an EPSRC (UK) post-doctoral fellowship (grant GR/S91086/01). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Finite-Temperature Form Factors: a Review Article published earlier |
| spellingShingle | Finite-Temperature Form Factors: a Review Doyon, B. |
| title | Finite-Temperature Form Factors: a Review |
| title_full | Finite-Temperature Form Factors: a Review |
| title_fullStr | Finite-Temperature Form Factors: a Review |
| title_full_unstemmed | Finite-Temperature Form Factors: a Review |
| title_short | Finite-Temperature Form Factors: a Review |
| title_sort | finite-temperature form factors: a review |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147799 |
| work_keys_str_mv | AT doyonb finitetemperatureformfactorsareview |