All the entropies on the light-cone
We determine the explicit universal form of the entanglement and Renyi entropies, for regions with arbitrary boundary on a null plane or the light-cone. All the entropies are shown to saturate the strong subadditive inequality. This Renyi Markov property implies that the vacuum behaves like a produc...
| Authors: | ; ; |
|---|---|
| Format: | Article |
| Status: | Published version |
| Publication date: | 2018 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/97690 |
| Online Access: | http://hdl.handle.net/11336/97690 |
| Access Level: | Open access |
| Keyword: | ADS-CFT CORRESPONDENCE CONFORMAL FIELD THEORY RENORMALIZATION GROUP https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| _version_ | 1878403722182131712 |
|---|---|
| author | Casini, Horacio German |
| author2 | Testé Lino, Eduardo Torroba, Gonzalo |
| author2_role | author author |
| author_browse | Casini, Horacio German Testé Lino, Eduardo Torroba, Gonzalo |
| author_facet | Casini, Horacio German Testé Lino, Eduardo Torroba, Gonzalo |
| author_role | author |
| collection | CONICET Digital (CONICET) |
| description | We determine the explicit universal form of the entanglement and Renyi entropies, for regions with arbitrary boundary on a null plane or the light-cone. All the entropies are shown to saturate the strong subadditive inequality. This Renyi Markov property implies that the vacuum behaves like a product state. For the null plane, our analysis applies to general quantum field theories, and we show that the entropies do not depend on the region. For the light-cone, our approach is restricted to conformal field theories. In this case, the construction of the entropies is related to dilaton effective actions in two less dimensions. In particular, the universal logarithmic term in the entanglement entropy arises from a Wess-Zumino anomaly action. We also consider these properties in theories with holographic duals, for which we construct the minimal area surfaces for arbitrary shapes on the light-cone. We recover the Markov property and the universal form of the entropy, and argue that these properties continue to hold upon including stringy and quantum corrections. We end with some remarks on the recently proved entropic a-theorem in four spacetime dimensions. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | AR_b3d31ee6069dcfb27c95f4b7cb360ce1 |
| identifier_str_mv | Casini, Horacio German; Testé Lino, Eduardo; Torroba, Gonzalo; All the entropies on the light-cone; Springer; Journal of High Energy Physics; 2018; 5; 5-2018; 1-42 1126-6708 CONICET Digital CONICET |
| institution | Consejo Nacional de Investigaciones Científicas y Técnicas |
| instname_str | Consejo Nacional de Investigaciones Científicas y Técnicas |
| language | eng |
| network_acronym_str | AR |
| network_name_str | Argentina |
| oai_identifier_str | oai:ri.conicet.gov.ar:11336/97690 |
| publishDate | 2018 |
| publishDateSort | 2018 |
| publisher | Springer |
| publisherStr | Springer |
| reponame_str | CONICET Digital (CONICET) |
| spelling | All the entropies on the light-cone Casini, Horacio German Testé Lino, Eduardo Torroba, Gonzalo ADS-CFT CORRESPONDENCE CONFORMAL FIELD THEORY RENORMALIZATION GROUP https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 We determine the explicit universal form of the entanglement and Renyi entropies, for regions with arbitrary boundary on a null plane or the light-cone. All the entropies are shown to saturate the strong subadditive inequality. This Renyi Markov property implies that the vacuum behaves like a product state. For the null plane, our analysis applies to general quantum field theories, and we show that the entropies do not depend on the region. For the light-cone, our approach is restricted to conformal field theories. In this case, the construction of the entropies is related to dilaton effective actions in two less dimensions. In particular, the universal logarithmic term in the entanglement entropy arises from a Wess-Zumino anomaly action. We also consider these properties in theories with holographic duals, for which we construct the minimal area surfaces for arbitrary shapes on the light-cone. We recover the Markov property and the universal form of the entropy, and argue that these properties continue to hold upon including stringy and quantum corrections. We end with some remarks on the recently proved entropic a-theorem in four spacetime dimensions. Fil: Casini, Horacio German. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Testé Lino, Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina Fil: Torroba, Gonzalo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina Springer http://hdl.handle.net/11336/97690 Casini, Horacio German; Testé Lino, Eduardo; Torroba, Gonzalo; All the entropies on the light-cone; Springer; Journal of High Energy Physics; 2018; 5; 5-2018; 1-42 1126-6708 CONICET Digital CONICET |
| spellingShingle | All the entropies on the light-cone Casini, Horacio German ADS-CFT CORRESPONDENCE CONFORMAL FIELD THEORY RENORMALIZATION GROUP https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| status_str | publishedVersion |
| title | All the entropies on the light-cone |
| title_full | All the entropies on the light-cone |
| title_fullStr | All the entropies on the light-cone |
| title_full_unstemmed | All the entropies on the light-cone |
| title_short | All the entropies on the light-cone |
| title_sort | All the entropies on the light-cone |
| topic | ADS-CFT CORRESPONDENCE CONFORMAL FIELD THEORY RENORMALIZATION GROUP https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| topic_facet | ADS-CFT CORRESPONDENCE CONFORMAL FIELD THEORY RENORMALIZATION GROUP https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| url | http://hdl.handle.net/11336/97690 |