Momentum analyticity of the holographic electric polarizability in 2 + 1 dimensions

Autor: Lei Yin, Hai-cang Ren, Ting-Kuo Lee, Defu Hou
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2017, Iss 4, Pp 1-32 (2017)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP04(2017)126
Popis: 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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