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 |
| Published: |
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 |
| Summary: | 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. |
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| ISSN: | 1029-8479 |