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Conductivity and quasinormal modes in holographic theories

Authors
Type
Published Article
Publication Date
Submission Date
Identifiers
DOI: 10.1007/JHEP02(2012)017
Source
arXiv
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Abstract

We show that in field theories with a holographic dual the retarded Green's function of a conserved current can be represented as a convergent sum over the quasinormal modes. We find that the zero-frequency conductivity is related to the sum over quasinormal modes and their high-frequency asymptotics via a sum rule. We derive the asymptotics of the quasinormal mode frequencies and their residues using the phase-integral (WKB) approach and provide analytic insight into the existing numerical observations concerning the asymptotic behavior of the spectral densities.

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