1,791 research outputs found
Thermalization of Green functions and quasinormal modes
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. We show that the
late time behaviour of the Green function is determined by the first
quasinormal mode. We then implement the method numerically. As applications of
this method we study the thermalization of the retarded time dependent Green
function corresponding to a minimally coupled scalar in the AdS3 and AdS5 thin
Vaidya shells. We see that as expected the late time behaviour is determined by
the first quasinormal mode. We apply the method to study the late time
behaviour of the shear vector mode in AdS5 Vaidya shell. At small momentum the
corresponding time dependent Green function is expected to relax to equilibrium
by the shear hydrodynamic mode. Using this we obtain the universal ratio of the
shear viscosity to entropy density from a time dependent process.Comment: Typos corrected, references added, 38 pages. 9 figures. Mathematica
files included in source file
- …