Entanglement entropy and superselection sectors. Part I. Global symmetries
Abstract Some quantum field theories show, in a fundamental or an effective manner, an alternative between a loss of duality for algebras of operators corresponding to complementary regions, or a loss of additivity. In this latter case, the algebra contains some operator that is not generated locall...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2020)014 |
| _version_ | 1818971161507135488 |
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| author | Horacio Casini Marina Huerta Javier M. Magán Diego Pontello |
| author_facet | Horacio Casini Marina Huerta Javier M. Magán Diego Pontello |
| author_sort | Horacio Casini |
| collection | DOAJ |
| description | Abstract Some quantum field theories show, in a fundamental or an effective manner, an alternative between a loss of duality for algebras of operators corresponding to complementary regions, or a loss of additivity. In this latter case, the algebra contains some operator that is not generated locally, in the former, the entropies of complementary regions do not coincide. Typically, these features are related to the incompleteness of the operator content of the theory, or, in other words, to the existence of superselection sectors. We review some aspects of the mathematical literature on superselection sectors aiming attention to the physical picture and focusing on the consequences for entanglement entropy (EE). For purposes of clarity, the whole discussion is divided into two parts according to the superselection sectors classification: the present part I is devoted to superselection sectors arising from global symmetries, and the forthcoming part II will consider those arising from local symmetries. Under this perspective, here restricted to global symmetries, we study in detail different cases such as models with finite and Lie group symmetry as well as with spontaneous symmetry breaking or excited states. We illustrate the general results with simple examples. As an important application, we argue the features of holographic entanglement entropy correspond to a picture of an sub-theory with a large number of superselection sectors and suggest some ways in which this identification could be made more precise. |
| first_indexed | 2024-12-20T14:47:58Z |
| format | Article |
| id | doaj.art-7119c49de08c48c499410212c9fec2f6 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T14:47:58Z |
| publishDate | 2020-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-7119c49de08c48c499410212c9fec2f62022-12-21T19:37:03ZengSpringerOpenJournal of High Energy Physics1029-84792020-02-012020219510.1007/JHEP02(2020)014Entanglement entropy and superselection sectors. Part I. Global symmetriesHoracio Casini0Marina Huerta1Javier M. Magán2Diego Pontello3Centro Atómico Bariloche and CONICETCentro Atómico Bariloche and CONICETCentro Atómico Bariloche and CONICETCentro Atómico Bariloche and CONICETAbstract Some quantum field theories show, in a fundamental or an effective manner, an alternative between a loss of duality for algebras of operators corresponding to complementary regions, or a loss of additivity. In this latter case, the algebra contains some operator that is not generated locally, in the former, the entropies of complementary regions do not coincide. Typically, these features are related to the incompleteness of the operator content of the theory, or, in other words, to the existence of superselection sectors. We review some aspects of the mathematical literature on superselection sectors aiming attention to the physical picture and focusing on the consequences for entanglement entropy (EE). For purposes of clarity, the whole discussion is divided into two parts according to the superselection sectors classification: the present part I is devoted to superselection sectors arising from global symmetries, and the forthcoming part II will consider those arising from local symmetries. Under this perspective, here restricted to global symmetries, we study in detail different cases such as models with finite and Lie group symmetry as well as with spontaneous symmetry breaking or excited states. We illustrate the general results with simple examples. As an important application, we argue the features of holographic entanglement entropy correspond to a picture of an sub-theory with a large number of superselection sectors and suggest some ways in which this identification could be made more precise.https://doi.org/10.1007/JHEP02(2020)014Discrete SymmetriesGlobal SymmetriesGauge-gravity correspondenceSpontaneous Symmetry Breaking |
| spellingShingle | Horacio Casini Marina Huerta Javier M. Magán Diego Pontello Entanglement entropy and superselection sectors. Part I. Global symmetries Journal of High Energy Physics Discrete Symmetries Global Symmetries Gauge-gravity correspondence Spontaneous Symmetry Breaking |
| title | Entanglement entropy and superselection sectors. Part I. Global symmetries |
| title_full | Entanglement entropy and superselection sectors. Part I. Global symmetries |
| title_fullStr | Entanglement entropy and superselection sectors. Part I. Global symmetries |
| title_full_unstemmed | Entanglement entropy and superselection sectors. Part I. Global symmetries |
| title_short | Entanglement entropy and superselection sectors. Part I. Global symmetries |
| title_sort | entanglement entropy and superselection sectors part i global symmetries |
| topic | Discrete Symmetries Global Symmetries Gauge-gravity correspondence Spontaneous Symmetry Breaking |
| url | https://doi.org/10.1007/JHEP02(2020)014 |
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