Thermalization of Green functions and quasinormal modes

Understand

We develop a new method to study the thermalization of time dependent retarded Green function in conformal field theories holographically dual to thin shell AdS Vaidya space times.

• The method relies on using the information of all time derivatives of the Green function at the shell and then evolving it for later times.
• The time derivatives of the Green function at the shell is given in terms of a recursion formula.
• Using this method we obtain analytic results for short time thermalization of the Green function.