Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography
Abstract Motivated by the recent connection between pole-skipping phenomena of two point functions and four point out-of-time-order correlators (OTOCs), we study the pole structure of thermal two-point functions in d-dimensional conformal field theories (CFTs) in hyperbolic space. We derive the pole...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP09(2020)111 |
| _version_ | 1818350736931553280 |
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| author | Yongjun Ahn Viktor Jahnke Hyun-Sik Jeong Keun-Young Kim Kyung-Sun Lee Mitsuhiro Nishida |
| author_facet | Yongjun Ahn Viktor Jahnke Hyun-Sik Jeong Keun-Young Kim Kyung-Sun Lee Mitsuhiro Nishida |
| author_sort | Yongjun Ahn |
| collection | DOAJ |
| description | Abstract Motivated by the recent connection between pole-skipping phenomena of two point functions and four point out-of-time-order correlators (OTOCs), we study the pole structure of thermal two-point functions in d-dimensional conformal field theories (CFTs) in hyperbolic space. We derive the pole-skipping points of two-point functions of scalar and vector fields by three methods (one field theoretic and two holographic methods) and confirm that they agree. We show that the leading pole-skipping point of two point functions is related with the late time behavior of conformal blocks and shadow conformal blocks in four-point OTOCs. |
| first_indexed | 2024-12-13T18:26:36Z |
| format | Article |
| id | doaj.art-936f3dc6d7c64970afbcd33a8ec8b855 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T18:26:36Z |
| publishDate | 2020-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-936f3dc6d7c64970afbcd33a8ec8b8552022-12-21T23:35:36ZengSpringerOpenJournal of High Energy Physics1029-84792020-09-012020914610.1007/JHEP09(2020)111Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holographyYongjun Ahn0Viktor Jahnke1Hyun-Sik Jeong2Keun-Young Kim3Kyung-Sun Lee4Mitsuhiro Nishida5School of Physics and Chemistry, Gwangju Institute of Science and TechnologySchool of Physics and Chemistry, Gwangju Institute of Science and TechnologySchool of Physics and Chemistry, Gwangju Institute of Science and TechnologySchool of Physics and Chemistry, Gwangju Institute of Science and TechnologySchool of Physics and Chemistry, Gwangju Institute of Science and TechnologySchool of Physics and Chemistry, Gwangju Institute of Science and TechnologyAbstract Motivated by the recent connection between pole-skipping phenomena of two point functions and four point out-of-time-order correlators (OTOCs), we study the pole structure of thermal two-point functions in d-dimensional conformal field theories (CFTs) in hyperbolic space. We derive the pole-skipping points of two-point functions of scalar and vector fields by three methods (one field theoretic and two holographic methods) and confirm that they agree. We show that the leading pole-skipping point of two point functions is related with the late time behavior of conformal blocks and shadow conformal blocks in four-point OTOCs.http://link.springer.com/article/10.1007/JHEP09(2020)111Gauge-gravity correspondenceHolography and condensed matter physics (AdS/CMT)AdS-CFT Correspondence |
| spellingShingle | Yongjun Ahn Viktor Jahnke Hyun-Sik Jeong Keun-Young Kim Kyung-Sun Lee Mitsuhiro Nishida Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography Journal of High Energy Physics Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) AdS-CFT Correspondence |
| title | Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography |
| title_full | Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography |
| title_fullStr | Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography |
| title_full_unstemmed | Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography |
| title_short | Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography |
| title_sort | pole skipping of scalar and vector fields in hyperbolic space conformal blocks and holography |
| topic | Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) AdS-CFT Correspondence |
| url | http://link.springer.com/article/10.1007/JHEP09(2020)111 |
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