Momentum analyticity of the holographic electric polarizability in 2 + 1 dimensions
Abstract The static electric polarization of a holographic field theory dual to the Einstein-Maxwell theory in the background of AdS 4 with a Reissner-Nordström (AdS-RN) black hole is investigated. We prove that the holographic polarization is a meromorphic functions in complex momentum plane and lo...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP04(2017)126 |
| _version_ | 1818271897429737472 |
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| author | Lei Yin Hai-cang Ren Ting-Kuo Lee Defu Hou |
| author_facet | Lei Yin Hai-cang Ren Ting-Kuo Lee Defu Hou |
| author_sort | Lei Yin |
| collection | DOAJ |
| description | Abstract The static electric polarization of a holographic field theory dual to the Einstein-Maxwell theory in the background of AdS 4 with a Reissner-Nordström (AdS-RN) black hole is investigated. We prove that the holographic polarization is a meromorphic functions in complex momentum plane and locate analytically the asymptotic distribution of the poles along two straight lines parallel to the imaginary axis for a large momentum magnitude. The results are compared with the numerical result on Friedel-like poles of the same holographic model reported in the literature and with the momentum singularities of the one-loop polarization in weak-coupling spinor QED3 and scalar QED3 with the similarities and differences discussed. |
| first_indexed | 2024-12-12T21:33:28Z |
| format | Article |
| id | doaj.art-48a5614c2f0048998fef8047e754aa14 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T21:33:28Z |
| publishDate | 2017-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-48a5614c2f0048998fef8047e754aa142022-12-22T00:11:14ZengSpringerOpenJournal of High Energy Physics1029-84792017-04-012017413210.1007/JHEP04(2017)126Momentum analyticity of the holographic electric polarizability in 2 + 1 dimensionsLei Yin0Hai-cang Ren1Ting-Kuo Lee2Defu Hou3Institute of Physics, Academic SinicaPhysics Department, The Rockefeller UniversityInstitute of Physics, Academic SinicaInstitute of Particle Physics and Key Laboratory of Quark and Lepton Physics (MOS), Central China Normal UniversityAbstract The static electric polarization of a holographic field theory dual to the Einstein-Maxwell theory in the background of AdS 4 with a Reissner-Nordström (AdS-RN) black hole is investigated. We prove that the holographic polarization is a meromorphic functions in complex momentum plane and locate analytically the asymptotic distribution of the poles along two straight lines parallel to the imaginary axis for a large momentum magnitude. The results are compared with the numerical result on Friedel-like poles of the same holographic model reported in the literature and with the momentum singularities of the one-loop polarization in weak-coupling spinor QED3 and scalar QED3 with the similarities and differences discussed.http://link.springer.com/article/10.1007/JHEP04(2017)126AdS-CFT CorrespondenceGauge-gravity correspondenceHolography and condensed matter physics (AdS/CMT) |
| spellingShingle | Lei Yin Hai-cang Ren Ting-Kuo Lee Defu Hou Momentum analyticity of the holographic electric polarizability in 2 + 1 dimensions Journal of High Energy Physics AdS-CFT Correspondence Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) |
| title | Momentum analyticity of the holographic electric polarizability in 2 + 1 dimensions |
| title_full | Momentum analyticity of the holographic electric polarizability in 2 + 1 dimensions |
| title_fullStr | Momentum analyticity of the holographic electric polarizability in 2 + 1 dimensions |
| title_full_unstemmed | Momentum analyticity of the holographic electric polarizability in 2 + 1 dimensions |
| title_short | Momentum analyticity of the holographic electric polarizability in 2 + 1 dimensions |
| title_sort | momentum analyticity of the holographic electric polarizability in 2 1 dimensions |
| topic | AdS-CFT Correspondence Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) |
| url | http://link.springer.com/article/10.1007/JHEP04(2017)126 |
| work_keys_str_mv | AT leiyin momentumanalyticityoftheholographicelectricpolarizabilityin21dimensions AT haicangren momentumanalyticityoftheholographicelectricpolarizabilityin21dimensions AT tingkuolee momentumanalyticityoftheholographicelectricpolarizabilityin21dimensions AT defuhou momentumanalyticityoftheholographicelectricpolarizabilityin21dimensions |