Entanglement entropy in integrable field theories with line defects. Part I. Topological defect

Abstract In this paper and a companion one [1], we study the effect of integrable line defects on entanglement entropy in massive integrable field theories in 1+1 dimensions. The current paper focuses on topological defects that are purely transmissive. Using the form factor bootstrap method, we sho...

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Main Author: Yunfeng Jiang
Format: Article
Language:English
Published: SpringerOpen 2017-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP07(2017)127
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author Yunfeng Jiang
author_facet Yunfeng Jiang
author_sort Yunfeng Jiang
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description Abstract In this paper and a companion one [1], we study the effect of integrable line defects on entanglement entropy in massive integrable field theories in 1+1 dimensions. The current paper focuses on topological defects that are purely transmissive. Using the form factor bootstrap method, we show that topological defects do not affect the the entanglement entropy in the UV limit and modify slightly the leading exponential correction in the IR. This conclusion holds for both unitary and non-unitary field theories. In contrast, non-topological defects affect the entanglement entropy more significantly both in UV and IR limit and will be studied in the companion paper.
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spelling doaj.art-fd166aef15f941849be598a6b92c0ed62022-12-21T20:08:06ZengSpringerOpenJournal of High Energy Physics1029-84792017-07-012017712710.1007/JHEP07(2017)127Entanglement entropy in integrable field theories with line defects. Part I. Topological defectYunfeng Jiang0Institut für Theoretische Physik, ETH ZürichAbstract In this paper and a companion one [1], we study the effect of integrable line defects on entanglement entropy in massive integrable field theories in 1+1 dimensions. The current paper focuses on topological defects that are purely transmissive. Using the form factor bootstrap method, we show that topological defects do not affect the the entanglement entropy in the UV limit and modify slightly the leading exponential correction in the IR. This conclusion holds for both unitary and non-unitary field theories. In contrast, non-topological defects affect the entanglement entropy more significantly both in UV and IR limit and will be studied in the companion paper.http://link.springer.com/article/10.1007/JHEP07(2017)127Bethe AnsatzField Theories in Lower DimensionsIntegrable Field Theories
spellingShingle Yunfeng Jiang
Entanglement entropy in integrable field theories with line defects. Part I. Topological defect
Journal of High Energy Physics
Bethe Ansatz
Field Theories in Lower Dimensions
Integrable Field Theories
title Entanglement entropy in integrable field theories with line defects. Part I. Topological defect
title_full Entanglement entropy in integrable field theories with line defects. Part I. Topological defect
title_fullStr Entanglement entropy in integrable field theories with line defects. Part I. Topological defect
title_full_unstemmed Entanglement entropy in integrable field theories with line defects. Part I. Topological defect
title_short Entanglement entropy in integrable field theories with line defects. Part I. Topological defect
title_sort entanglement entropy in integrable field theories with line defects part i topological defect
topic Bethe Ansatz
Field Theories in Lower Dimensions
Integrable Field Theories
url http://link.springer.com/article/10.1007/JHEP07(2017)127
work_keys_str_mv AT yunfengjiang entanglemententropyinintegrablefieldtheorieswithlinedefectspartitopologicaldefect