Tripartite information at long distances
- Autores
- Agón, César A.; Bueno, Pablo; Casini, Horacio German
- Año de publicación
- 2022
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We compute the leading term of the tripartite information at long distances for three spheres in a CFT. This falls as r −6∆, where r is the typical distance between the spheres, and ∆ the lowest primary field dimension. The coefficient turns out to be a combination of terms coming from the two- and three-point functions and depends on the OPE coefficient of the field. We check the result with three-dimensional free scalars in the lattice finding excellent agreement. When the lowest-dimensional field is a scalar, we find that the mutual information can be monogamous only for quite large OPE coefficients, far away from a perturbative regime. When the lowest-dimensional primary is a fermion, we argue that the scaling must always be faster than r −6∆f . In particular, lattice calculations suggest a leading scaling r −(6∆f +1) . For free fermions in three dimensions, we show that mutual information is also non-monogamous in the long-distance regime.
Fil: Agón, César A.. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Bueno, Pablo. Cern - European Organization for Nuclear Research; Suiza
Fil: Casini, Horacio German. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina - Materia
-
Entanglement entropy
Quantum field theory - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by/2.5/ar/
- Repositorio
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/215930
Ver los metadatos del registro completo
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Tripartite information at long distancesAgón, César A.Bueno, PabloCasini, Horacio GermanEntanglement entropyQuantum field theoryhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We compute the leading term of the tripartite information at long distances for three spheres in a CFT. This falls as r −6∆, where r is the typical distance between the spheres, and ∆ the lowest primary field dimension. The coefficient turns out to be a combination of terms coming from the two- and three-point functions and depends on the OPE coefficient of the field. We check the result with three-dimensional free scalars in the lattice finding excellent agreement. When the lowest-dimensional field is a scalar, we find that the mutual information can be monogamous only for quite large OPE coefficients, far away from a perturbative regime. When the lowest-dimensional primary is a fermion, we argue that the scaling must always be faster than r −6∆f . In particular, lattice calculations suggest a leading scaling r −(6∆f +1) . For free fermions in three dimensions, we show that mutual information is also non-monogamous in the long-distance regime.Fil: Agón, César A.. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaFil: Bueno, Pablo. Cern - European Organization for Nuclear Research; SuizaFil: Casini, Horacio German. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; ArgentinaSciPost Foundation2022-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/215930Agón, César A.; Bueno, Pablo; Casini, Horacio German; Tripartite information at long distances; SciPost Foundation; SciPost Physics; 12; 5; 5-2022; 1-292542-4653CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.21468/SciPostPhys.12.5.153info:eu-repo/semantics/altIdentifier/url/https://scipost.org/10.21468/SciPostPhys.12.5.153info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:46:58Zoai:ri.conicet.gov.ar:11336/215930instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:46:58.548CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| dc.title.none.fl_str_mv |
Tripartite information at long distances |
| title |
Tripartite information at long distances |
| spellingShingle |
Tripartite information at long distances Agón, César A. Entanglement entropy Quantum field theory |
| title_short |
Tripartite information at long distances |
| title_full |
Tripartite information at long distances |
| title_fullStr |
Tripartite information at long distances |
| title_full_unstemmed |
Tripartite information at long distances |
| title_sort |
Tripartite information at long distances |
| dc.creator.none.fl_str_mv |
Agón, César A. Bueno, Pablo Casini, Horacio German |
| author |
Agón, César A. |
| author_facet |
Agón, César A. Bueno, Pablo Casini, Horacio German |
| author_role |
author |
| author2 |
Bueno, Pablo Casini, Horacio German |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
Entanglement entropy Quantum field theory |
| topic |
Entanglement entropy Quantum field theory |
| purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| dc.description.none.fl_txt_mv |
We compute the leading term of the tripartite information at long distances for three spheres in a CFT. This falls as r −6∆, where r is the typical distance between the spheres, and ∆ the lowest primary field dimension. The coefficient turns out to be a combination of terms coming from the two- and three-point functions and depends on the OPE coefficient of the field. We check the result with three-dimensional free scalars in the lattice finding excellent agreement. When the lowest-dimensional field is a scalar, we find that the mutual information can be monogamous only for quite large OPE coefficients, far away from a perturbative regime. When the lowest-dimensional primary is a fermion, we argue that the scaling must always be faster than r −6∆f . In particular, lattice calculations suggest a leading scaling r −(6∆f +1) . For free fermions in three dimensions, we show that mutual information is also non-monogamous in the long-distance regime. Fil: Agón, César A.. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina Fil: Bueno, Pablo. Cern - European Organization for Nuclear Research; Suiza Fil: Casini, Horacio German. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina |
| description |
We compute the leading term of the tripartite information at long distances for three spheres in a CFT. This falls as r −6∆, where r is the typical distance between the spheres, and ∆ the lowest primary field dimension. The coefficient turns out to be a combination of terms coming from the two- and three-point functions and depends on the OPE coefficient of the field. We check the result with three-dimensional free scalars in the lattice finding excellent agreement. When the lowest-dimensional field is a scalar, we find that the mutual information can be monogamous only for quite large OPE coefficients, far away from a perturbative regime. When the lowest-dimensional primary is a fermion, we argue that the scaling must always be faster than r −6∆f . In particular, lattice calculations suggest a leading scaling r −(6∆f +1) . For free fermions in three dimensions, we show that mutual information is also non-monogamous in the long-distance regime. |
| publishDate |
2022 |
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2022-05 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://hdl.handle.net/11336/215930 Agón, César A.; Bueno, Pablo; Casini, Horacio German; Tripartite information at long distances; SciPost Foundation; SciPost Physics; 12; 5; 5-2022; 1-29 2542-4653 CONICET Digital CONICET |
| url |
http://hdl.handle.net/11336/215930 |
| identifier_str_mv |
Agón, César A.; Bueno, Pablo; Casini, Horacio German; Tripartite information at long distances; SciPost Foundation; SciPost Physics; 12; 5; 5-2022; 1-29 2542-4653 CONICET Digital CONICET |
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eng |
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eng |
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info:eu-repo/semantics/altIdentifier/doi/10.21468/SciPostPhys.12.5.153 info:eu-repo/semantics/altIdentifier/url/https://scipost.org/10.21468/SciPostPhys.12.5.153 |
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