Time evolution after double trace deformation
Abstract In this paper, we consider double trace deformation to single CFT2, and study time evolution after the deformation. The double trace deformation we consider is nonlocal: composed of two local operators placed at separate points. We study two types of local operators: one is usual local oper...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2018)074 |
| _version_ | 1818922407926169600 |
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| author | Masamichi Miyaji |
| author_facet | Masamichi Miyaji |
| author_sort | Masamichi Miyaji |
| collection | DOAJ |
| description | Abstract In this paper, we consider double trace deformation to single CFT2, and study time evolution after the deformation. The double trace deformation we consider is nonlocal: composed of two local operators placed at separate points. We study two types of local operators: one is usual local operator in CFT, and the other is HKLL bulk local operator, which is still operator in CFT but has properties as bulk local operator. We compute null energy and averaged null energy in the bulk in both types of deformations. We confirmed that, with the suitable choice of couplings, averaged null energies are negative. This implies causal structure is modified in the bulk, from classical background. We then calculate time evolution of entanglement entropy and entanglement Rényi entropy after double trace deformation. We find both quantities are found to show peculiar shockwave-like time evolution. |
| first_indexed | 2024-12-20T01:53:03Z |
| format | Article |
| id | doaj.art-f8c6babc756645caa22d87314fb72db5 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T01:53:03Z |
| publishDate | 2018-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f8c6babc756645caa22d87314fb72db52022-12-21T19:57:35ZengSpringerOpenJournal of High Energy Physics1029-84792018-10-0120181011810.1007/JHEP10(2018)074Time evolution after double trace deformationMasamichi Miyaji0Yukawa Institute for Theoretical Physics (YITP), Kyoto UniversityAbstract In this paper, we consider double trace deformation to single CFT2, and study time evolution after the deformation. The double trace deformation we consider is nonlocal: composed of two local operators placed at separate points. We study two types of local operators: one is usual local operator in CFT, and the other is HKLL bulk local operator, which is still operator in CFT but has properties as bulk local operator. We compute null energy and averaged null energy in the bulk in both types of deformations. We confirmed that, with the suitable choice of couplings, averaged null energies are negative. This implies causal structure is modified in the bulk, from classical background. We then calculate time evolution of entanglement entropy and entanglement Rényi entropy after double trace deformation. We find both quantities are found to show peculiar shockwave-like time evolution.http://link.springer.com/article/10.1007/JHEP10(2018)074AdS-CFT CorrespondenceConformal Field Theory |
| spellingShingle | Masamichi Miyaji Time evolution after double trace deformation Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Theory |
| title | Time evolution after double trace deformation |
| title_full | Time evolution after double trace deformation |
| title_fullStr | Time evolution after double trace deformation |
| title_full_unstemmed | Time evolution after double trace deformation |
| title_short | Time evolution after double trace deformation |
| title_sort | time evolution after double trace deformation |
| topic | AdS-CFT Correspondence Conformal Field Theory |
| url | http://link.springer.com/article/10.1007/JHEP10(2018)074 |
| work_keys_str_mv | AT masamichimiyaji timeevolutionafterdoubletracedeformation |