Holographic RG flows and transport coefficients in Einstein-Gauss-Bonnet-Maxwell theory

Abstract

We apply the membrane paradigm and the holographic Wilsonian approach to the Einstein-Gauss-Bonnet-Maxwell theory. The transport coefficients for a quark-gluon plasma living on the cutoff surface are derived in a spacetime of charged black brane. Because of the mixing of the Gauss-Bonnet coupling and the Maxwell fields, the vector modes/shear modes of the metric and Maxwell fluctuations turn out to be very difficult to decouple. We firstly evaluate the AC conductivity at a finite cutoff surface by solving the equation of motion numerically, then manage to derive the radial flow of DC conductivity with the use of the Kubo formula. It turns out that our analytical results match the numerical data in low frequency limit very well. The diffusion constant $D(u_c)$ is also derived in a long wavelength expansion limit. We find it depends on the Gauss-Bonnet coupling as well as the position of the cutoff surface.

21pages, 3 figures, published in JHEP

References in corpus (11)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Beyond eta/s = 1/4pi
• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Deconstructing holographic liquids
• Density Dependence of Transport Coefficients from Holographic Hydrodynamics
• Moduli flow and non-supersymmetric AdS attractors
• Holographic Wilsonian RG Flow and Sliding Membrane Paradigm
• Hydrodynamics of RN AdS${}_4$ black hole and Holographic Optics
• R^2 Corrections to Asymptotically Lifshitz Spacetimes
• Moduli and electromagnetic black brane holography

Cited by in corpus (10)

• Thermoelectric conductivities, shear viscosity, and stability in an anisotropic linear axion model
• Holographic thermalization with a chemical potential in Gauss-Bonnet gravity
• Thermoelectric DC conductivities with momentum dissipation from higher derivative gravity
• Holographic Entropy Production
• Hyperscaling violating black hole solutions and Magneto-thermoelectric DC conductivities in holography
• Holographic Flow of Anomalous Transport Coefficients
• Stochastic quantization and holographic Wilsonian renormalization group
• Shear Viscosity to Entropy Density Ratio in Higher Derivative Gravity with Momentum Dissipation
• Wilsonian RG-flow approach to holographic transport with momentum dissipation
• RG flow of AC Conductivity in Soft Wall Model of QCD