Entanglement of a chiral fermion on the torus
Abstract In this paper we present the detailed calculation of a new modular Hamiltonian, namely that of a chiral fermion on a circle at non-zero temperature. We provide explicit results for an arbitrary collection of intervals, which we discuss at length by checking against known results in differen...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP09(2019)076 |
| _version_ | 1818039836253093888 |
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| author | David Blanco Alan Garbarz Guillem Pérez-Nadal |
| author_facet | David Blanco Alan Garbarz Guillem Pérez-Nadal |
| author_sort | David Blanco |
| collection | DOAJ |
| description | Abstract In this paper we present the detailed calculation of a new modular Hamiltonian, namely that of a chiral fermion on a circle at non-zero temperature. We provide explicit results for an arbitrary collection of intervals, which we discuss at length by checking against known results in different limits and by computing the associated modular flow. We also compute the entanglement entropy, and we obtain a simple expression for it which appears to be more manageable than those already existing in the literature. |
| first_indexed | 2024-12-10T08:04:58Z |
| format | Article |
| id | doaj.art-0901f4de6b464a5f8ebe1b807365c081 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T08:04:58Z |
| publishDate | 2019-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0901f4de6b464a5f8ebe1b807365c0812022-12-22T01:56:42ZengSpringerOpenJournal of High Energy Physics1029-84792019-09-012019912910.1007/JHEP09(2019)076Entanglement of a chiral fermion on the torusDavid Blanco0Alan Garbarz1Guillem Pérez-Nadal2Departamento de Física and IFIBA-CONICET, Universidad de Buenos AiresDepartamento de Física and IFIBA-CONICET, Universidad de Buenos AiresDepartamento de Física and IFIBA-CONICET, Universidad de Buenos AiresAbstract In this paper we present the detailed calculation of a new modular Hamiltonian, namely that of a chiral fermion on a circle at non-zero temperature. We provide explicit results for an arbitrary collection of intervals, which we discuss at length by checking against known results in different limits and by computing the associated modular flow. We also compute the entanglement entropy, and we obtain a simple expression for it which appears to be more manageable than those already existing in the literature.http://link.springer.com/article/10.1007/JHEP09(2019)076Field Theories in Lower DimensionsConformal Field Theory |
| spellingShingle | David Blanco Alan Garbarz Guillem Pérez-Nadal Entanglement of a chiral fermion on the torus Journal of High Energy Physics Field Theories in Lower Dimensions Conformal Field Theory |
| title | Entanglement of a chiral fermion on the torus |
| title_full | Entanglement of a chiral fermion on the torus |
| title_fullStr | Entanglement of a chiral fermion on the torus |
| title_full_unstemmed | Entanglement of a chiral fermion on the torus |
| title_short | Entanglement of a chiral fermion on the torus |
| title_sort | entanglement of a chiral fermion on the torus |
| topic | Field Theories in Lower Dimensions Conformal Field Theory |
| url | http://link.springer.com/article/10.1007/JHEP09(2019)076 |
| work_keys_str_mv | AT davidblanco entanglementofachiralfermiononthetorus AT alangarbarz entanglementofachiralfermiononthetorus AT guillempereznadal entanglementofachiralfermiononthetorus |