Correlation lengths in strongly coupled plasmas from holography
Seminar Room 1, Newton Institute
At high temperature, finite correlation lengths appear due to the stochastic nature of thermal fluctuations. Then, small time-dependent perturbations localized in the plasma will not affect regions beyond that length. This can be shown as an exponential decay of the two point correlator with the distance. In N=4 we can study the plasma phase using the holographic gravity dual, a black hole in AdS_5. We identify correlation lengths of different operators with the imaginary part of complex momentum modes of the dual fields in the black hole geometry, and explore their dependence with frequency.