Euclidean time approach to entanglement entropy on lattices and fuzzy spaces
Abstract In a recent letter, Phys. Lett. B 792 (2019) 60, we developed a novel Euclidean time approach to compute Rényi entanglement entropy on lattices and fuzzy spaces based on Green’s function. The present work is devoted in part to the explicit proof of the Green’s matrix function formula which...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2022)051 |
| _version_ | 1797865792949190656 |
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| author | A. Allouche D. Dou |
| author_facet | A. Allouche D. Dou |
| author_sort | A. Allouche |
| collection | DOAJ |
| description | Abstract In a recent letter, Phys. Lett. B 792 (2019) 60, we developed a novel Euclidean time approach to compute Rényi entanglement entropy on lattices and fuzzy spaces based on Green’s function. The present work is devoted in part to the explicit proof of the Green’s matrix function formula which was quoted and used in the previous letter, and on the other part to some applications of this formalism. We focus on scalar theory on 1+1 lattice. We also use the developed approach to systematically go beyond the Gaussian case by considering interacting models, in particular our results confirm earlier expectations concerning the correction to the entanglement at first order. We finally outline how this approach can be used to compute the entanglement entropy on fuzzy spaces for free and interacting scalar theories. |
| first_indexed | 2024-04-09T23:14:14Z |
| format | Article |
| id | doaj.art-7bcf8000ee514a15a8812baa28489cd0 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:14:14Z |
| publishDate | 2022-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-7bcf8000ee514a15a8812baa28489cd02023-03-22T10:11:20ZengSpringerOpenJournal of High Energy Physics1029-84792022-04-012022414710.1007/JHEP04(2022)051Euclidean time approach to entanglement entropy on lattices and fuzzy spacesA. Allouche0D. Dou1Department of Physics, College of Exact Sciences, Hamma Lakhdar UniversityDepartment of Physics, College of Exact Sciences, Hamma Lakhdar UniversityAbstract In a recent letter, Phys. Lett. B 792 (2019) 60, we developed a novel Euclidean time approach to compute Rényi entanglement entropy on lattices and fuzzy spaces based on Green’s function. The present work is devoted in part to the explicit proof of the Green’s matrix function formula which was quoted and used in the previous letter, and on the other part to some applications of this formalism. We focus on scalar theory on 1+1 lattice. We also use the developed approach to systematically go beyond the Gaussian case by considering interacting models, in particular our results confirm earlier expectations concerning the correction to the entanglement at first order. We finally outline how this approach can be used to compute the entanglement entropy on fuzzy spaces for free and interacting scalar theories.https://doi.org/10.1007/JHEP04(2022)051Lattice Quantum Field TheoryBlack Holes |
| spellingShingle | A. Allouche D. Dou Euclidean time approach to entanglement entropy on lattices and fuzzy spaces Journal of High Energy Physics Lattice Quantum Field Theory Black Holes |
| title | Euclidean time approach to entanglement entropy on lattices and fuzzy spaces |
| title_full | Euclidean time approach to entanglement entropy on lattices and fuzzy spaces |
| title_fullStr | Euclidean time approach to entanglement entropy on lattices and fuzzy spaces |
| title_full_unstemmed | Euclidean time approach to entanglement entropy on lattices and fuzzy spaces |
| title_short | Euclidean time approach to entanglement entropy on lattices and fuzzy spaces |
| title_sort | euclidean time approach to entanglement entropy on lattices and fuzzy spaces |
| topic | Lattice Quantum Field Theory Black Holes |
| url | https://doi.org/10.1007/JHEP04(2022)051 |
| work_keys_str_mv | AT aallouche euclideantimeapproachtoentanglemententropyonlatticesandfuzzyspaces AT ddou euclideantimeapproachtoentanglemententropyonlatticesandfuzzyspaces |