English

Sound Modes in Holographic Hydrodynamics for Charged AdS Black Hole

High Energy Physics - Theory 2009-08-03 v2

Abstract

In the previous paper we studied the transport coefficients of Quark-Gluon Plasma in finite temperature and finite density in vector and tensor modes. In this paper, we extend it to the scalar modes. We work out the decoupling problem and hydrodynamic analysis for the sound mode in charged AdS black hole and calculate the sound velocity, the charge susceptibility and the electrical conductivity. We find that Einstein relation among the conductivity, the diffusion constant and the susceptibility holds exactly.

Keywords

Cite

@article{arxiv.0901.0610,
  title  = {Sound Modes in Holographic Hydrodynamics for Charged AdS Black Hole},
  author = {Yoshinori Matsuo and Sang-Jin Sin and Shingo Takeuchi and Takuya Tsukioka and Chul-Moon Yoo},
  journal= {arXiv preprint arXiv:0901.0610},
  year   = {2009}
}

Comments

1+33 pages, 4 figures, LaTeX; references added, improved section 4.4