Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-11-22
Physics
High Energy Physics
High Energy Physics - Phenomenology
24 pages, 3 figures
Scientific paper
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.
Stephanov Mikhail A.
Yin Yi
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