Dynamical Hawking radiation and holographic thermalization

Abstract

Using gauge/gravity duality, we study the thermalization of strongly coupled N = 4 supersymmetric Yang-Mills plasma. We analyze the expectation value of the stress tensor and scalar correlation functions and the applicability of the fluctuation dissipation theorem. Via gauge/gravity duality, this maps into studying the equilibration of a black hole geometry and its Hawking radiation.

Figures (1)

• Figure 1: (a) The SYM stress tensor as a function of time. (b) The effective temperatures $T_1$ and $T_2$ as a function of time. $T_2$ is plotted for time-like momentum $\omega=\pi T_{\rm f}$ and $\bm q=0$ and light-like momentum $\omega=\pi T_{\rm f}$ and $q_\perp=q_\parallel=\pi T_{\rm f}/\sqrt{2}$. $T_1$ vanishes when $\mathcal{E}= 0$ and $T_2$ vanishes when $2 g_{\rm sym}= \pm i g_{\rm anti}$ and diverges when $g_{\rm anti} = 0$.