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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Дата:2007
Автор: Doyon, B.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2007
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1477992019-02-17T01:27:34Z Finite-Temperature Form Factors: a Review Doyon, B. 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. 2007 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/147799 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
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.
format Article
author Doyon, B.
spellingShingle Doyon, B.
Finite-Temperature Form Factors: a Review
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Doyon, B.
author_sort Doyon, B.
title Finite-Temperature Form Factors: a Review
title_short 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_sort finite-temperature form factors: a review
publisher Інститут математики НАН України
publishDate 2007
url http://dspace.nbuv.gov.ua/handle/123456789/147799
citation_txt Finite-Temperature Form Factors: a Review / B. Doyon // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 49 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT doyonb finitetemperatureformfactorsareview
first_indexed 2023-05-20T17:28:33Z
last_indexed 2023-05-20T17:28:33Z
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