Hydrodynamics of RN AdS4 black hole and holographic optics

Abstract

We consider the AdS 4 RN black hole and work out the momentum dependent hydrodynamic analysis for the vector modes. We also perform the spectral function calculation of the dual field theory. As an application, we consider the permittivity and permeability and find that for low frequency regime, the index of refraction is found to be negative, supporting the claim made in ref.[20] for AdS 5 . We also find that at static limit the medium has the zero permeability, a character of the superconductivity .

Holography of charged black holes withRF2corrections

“…However, once again due to the nontrivial background U(1) gauge field, it is more difficult to compute the corresponding correlation functions even at the leading order, see e.g. [23]. Then one may resort to perturbative methods and numerical techniques to obtain such correlation functions.…”

Electromagnetic response of strongly coupled plasmas

“…The former implies that the electromagnetic energy flux and the phase velocity of an electromagnetic wave through the medium propagate in opposite directions [6,[12][13][14][15][16][17][18][19][20][21][22]; the latter means that, even if isotropic, a medium supports multiple electromagnetic waves with the same frequency but different wave-vectors [7][8][9][10][11]. Following these results, various authors investigated these topics in a wide variety of different setups, see for example [26][27][28][29][30][31][32][33][34][35][36]. In particular [37] provides an analysis of the actual signature of the abovementioned phenomena in condensed matter systems and it proposes suitable experiments to measure such effects.…”

Refractive index of light and the quark-gluon plasma

“…[11] and followed in Refs. [12][13][14][15]. Furthermore, it was proven to be a possible generic phenomenon in charged hydrodynamical systems and the non-magnetizable QGP [16].…”