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Entanglement entropy from form factors in TT-deformed integrable quantum field theories

Castro-Alvaredo, O. ORCID: 0000-0003-1876-7341, Negro, S. & Sailis, F. (2023). Entanglement entropy from form factors in TT-deformed integrable quantum field theories. Journal of High Energy Physics, 2023(11), article number 129. doi: 10.1007/jhep11(2023)129


In two recent papers we have proposed a program of study which allows us to compute the correlation functions of local and semi-local fields in generalised TT-deformed integrable quantum field theories. This new program, based on the construction of form factors, opens many avenues for future study, one of which we address in this paper: computing entanglement measures employing branch point twist fields. Indeed, over the past 15 years, this has become one the leading methods for the computation of entanglement measures, both in conformal field theory and integrable quantum field theory. Thus the generalisation of this program to TT-perturbed theories offers a promising new tool for the study of entanglement measures in the presence of irrelevant perturbations. In this paper, we show that the natural two-particle form factor solution for branch point twist fields in replica theories with diagonal scattering admits a simple generalisation to a solution for TT-perturbed theories. Starting with this solution, some of the known properties of entanglement measures in massive integrable quantum field theories can be generalised to the perturbed models. We show this by focusing on the Ising field theory. During the completion of this paper, we became aware of the recent publication [3] where the same problem has been addressed.

Publication Type: Article
Additional Information: This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Publisher Keywords: Field Theories in Lower Dimensions, Integrable Field Theories, Scale and Conformal Symmetries
Subjects: Q Science > QC Physics
Departments: School of Science & Technology > Mathematics
SWORD Depositor:
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