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Momentum analyticity of the holographic electric polarizability in 2 + 1 dimensions
- Source :
- Journal of High Energy Physics, Vol 2017, Iss 4, Pp 1-32 (2017)
- Publication Year :
- 2017
- Publisher :
- SpringerOpen, 2017.
-
Abstract
- 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.
Details
- Language :
- English
- ISSN :
- 10298479
- Volume :
- 2017
- Issue :
- 4
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.48a5614c2f0048998fef8047e754aa14
- Document Type :
- article
- Full Text :
- https://doi.org/10.1007/JHEP04(2017)126