Holographic entanglement from the UV to the IR
Abstract In AdS/CFT, observables on the boundary are invariant under renormalization group (RG) flow in the bulk. In this paper, we study holographic entanglement entropy under bulk RG flow and find that it is indeed invariant. We focus on tree-level RG flow, where massive fields in a UV theory are...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2023)207 |
| _version_ | 1827277375517229056 |
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| author | Xi Dong Grant N. Remmen Diandian Wang Wayne W. Weng Chih-Hung Wu |
| author_facet | Xi Dong Grant N. Remmen Diandian Wang Wayne W. Weng Chih-Hung Wu |
| author_sort | Xi Dong |
| collection | DOAJ |
| description | Abstract In AdS/CFT, observables on the boundary are invariant under renormalization group (RG) flow in the bulk. In this paper, we study holographic entanglement entropy under bulk RG flow and find that it is indeed invariant. We focus on tree-level RG flow, where massive fields in a UV theory are integrated out to give the IR theory. We explicitly show that in several simple examples, holographic entanglement entropy calculated in the UV theory agrees with that calculated in the IR theory. Moreover, we give an argument for this agreement to hold for general tree-level RG flow. Along the way, we generalize the replica method of calculating holographic entanglement entropy to bulk theories that include matter fields with nonzero spin. |
| first_indexed | 2024-03-09T06:02:38Z |
| format | Article |
| id | doaj.art-ba94ebde3fd4437cb902f82ef0fe0a42 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T07:20:02Z |
| publishDate | 2023-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ba94ebde3fd4437cb902f82ef0fe0a422024-04-21T11:06:06ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231112710.1007/JHEP11(2023)207Holographic entanglement from the UV to the IRXi Dong0Grant N. Remmen1Diandian Wang2Wayne W. Weng3Chih-Hung Wu4Department of Physics, University of CaliforniaDepartment of Physics, University of CaliforniaDepartment of Physics, University of CaliforniaDepartment of Physics, University of CaliforniaDepartment of Physics, University of CaliforniaAbstract In AdS/CFT, observables on the boundary are invariant under renormalization group (RG) flow in the bulk. In this paper, we study holographic entanglement entropy under bulk RG flow and find that it is indeed invariant. We focus on tree-level RG flow, where massive fields in a UV theory are integrated out to give the IR theory. We explicitly show that in several simple examples, holographic entanglement entropy calculated in the UV theory agrees with that calculated in the IR theory. Moreover, we give an argument for this agreement to hold for general tree-level RG flow. Along the way, we generalize the replica method of calculating holographic entanglement entropy to bulk theories that include matter fields with nonzero spin.https://doi.org/10.1007/JHEP11(2023)207AdS-CFT CorrespondenceEffective Field TheoriesGauge-Gravity CorrespondenceRenormalization Group |
| spellingShingle | Xi Dong Grant N. Remmen Diandian Wang Wayne W. Weng Chih-Hung Wu Holographic entanglement from the UV to the IR Journal of High Energy Physics AdS-CFT Correspondence Effective Field Theories Gauge-Gravity Correspondence Renormalization Group |
| title | Holographic entanglement from the UV to the IR |
| title_full | Holographic entanglement from the UV to the IR |
| title_fullStr | Holographic entanglement from the UV to the IR |
| title_full_unstemmed | Holographic entanglement from the UV to the IR |
| title_short | Holographic entanglement from the UV to the IR |
| title_sort | holographic entanglement from the uv to the ir |
| topic | AdS-CFT Correspondence Effective Field Theories Gauge-Gravity Correspondence Renormalization Group |
| url | https://doi.org/10.1007/JHEP11(2023)207 |
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