Anomalous transport from holography: Part II

Abstract

This is a second study of chiral anomaly induced transport within a holographic model consisting of anomalous $U(1{)}_V\times U(1{)}_A$ Maxwell theory in Schwarzschild-$Ad{S}_5$ spacetime. In the first part, chiral magnetic/separation effects (CME/CSE) are considered in presence of a static spatially-inhomogeneous external magnetic field. Gradient corrections to CME/CSE are analytically evaluated up to third order in the derivative expansion. Some of the third order gradient corrections lead to an anomaly-induced negative $B^2$-correction to the diffusion constant. We also find non-linear in $B$ modifications to the chiral magnetic wave (CMW). In the second part, we focus on the experimentally interesting case of the axial chemical potential being induced dynamically by a constant magnetic and time-dependent electric fields. Constitutive relations for the vector/axial currents are computed employing two different approximations: (a) derivative expansion (up to third order) but fully nonlinear in the external fields, and (b) weak electric field limit but resuming all orders in the derivative expansion. A non-vanishing non-linear axial current (CSE) is found in the first case. Dependence on magnetic field and frequency of linear transport coefficient functions (TCFs) is explored in the second.

v1: 25 pages, 5 multi-figures; v2: published version, 35 pages, several paragraphs added to explain resummed hydro and the technique used to resum gradients within linear approximation, two appendices added to supplement calculational details in sections 3 and 4, refs added

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• Probing anomalous driving
• Nonlinear chiral transport from holography
• Gradient resummation for nonlinear chiral transport: an insight from holography
• Chiral transport in strong fields from holography
• Holographic Charged Fluid with Chiral Electric Separation Effect
• Non-equilibrium dynamics in Holography
• Thermal Product Formula for Shear Modes
• Magnetic monopole in a chiral plasma: chiral dyon