Momentum analyticity of the holographic electric polarizability in 2 + 1 dimensions
| Autor: | Hai-cang Ren, De-fu Hou, Lei Yin, Ting-Kuo Lee |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Holography FOS: Physical sciences Asymptotic distribution AdS-CFT Correspondence 01 natural sciences Gauge-gravity correspondence law.invention General Relativity and Quantum Cosmology law Polarizability 0103 physical sciences lcsh:Nuclear and particle physics. Atomic energy. Radioactivity 010306 general physics Meromorphic function Physics Spinor 010308 nuclear & particles physics Polarization (waves) Holography and condensed matter physics (AdS/CMT) Polarization density High Energy Physics - Theory (hep-th) Quantum electrodynamics lcsh:QC770-798 Gravitational singularity |
| Zdroj: | Journal of High Energy Physics, Vol 2017, Iss 4, Pp 1-32 (2017) Journal of High Energy Physics |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/JHEP04(2017)126 |
| Popis: | The static electric polarization of a holographic field theory dual to the Einstein-Maxwell theory in the background of $AdS_4$ with a Reissner-Nordst\"{o}m (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 QED$_3$ and scalar QED$_3$ with the similarities and differences discussed. Comment: 31 pages, 2 figures |
| Databáze: | OpenAIRE |
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