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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Bibliographic Details
Date:2007
Main Author: Doyon, B.
Format: Article
Language:English
Published: Інститут математики НАН України 2007
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/147799
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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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Summary: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.