Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-12-03
JHEP 1201(2012)117
Physics
High Energy Physics
High Energy Physics - Theory
21pages, 3 figures, published in JHEP
Scientific paper
10.1007/JHEP01(2012)117
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.
Ge Xian-Hui
Ling Yi
Tian Yu
Wu Xiao-Ning
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