Drude in D major
Tomas Andrade, Simon A. Gentle, Benjamin Withers

TL;DR
This paper explores holographic momentum relaxation in large spacetime dimensions, deriving analytical expressions for transport properties and demonstrating the effectiveness of large D as an approximation even at D=4.
Contribution
It provides the first analytical study of holographic transport in the large D limit, including quasi-normal modes and AC conductivity expansions.
Findings
Momentum conservation is restored at large D without sources.
AC conductivity at leading order exhibits Drude behavior.
Large D expansion approximates finite D results well.
Abstract
We study holographic momentum relaxation in the limit of a large number of spacetime dimensions D. For an axion model we find that momentum conservation is restored as D becomes large. To compensate we scale the strength of the sources with D so that momentum is relaxed even at infinite D. We analytically obtain the quasi-normal modes which control electric and heat transport, and give their frequencies in a 1/D expansion. We also obtain the AC thermal conductivity as an expansion in 1/D, which at leading order takes Drude form. To order 1/D our analytical result provides a reasonable approximation to the AC conductivity even at D=4, establishing large D as a practical method in this context. As a further application, we discuss the signature of the transition from coherent to incoherent behaviour known to exist in the system for finite D.
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