Lifshitz quasinormal modes and relaxation from holography

Abstract

We obtain relaxation times for field theories with Lifshitz scaling and with holographic duals Einstein-Maxwell-Dilaton gravity theories. This is done by computing quasinormal modes of a bulk scalar field in the presence of Lifshitz black branes. We determine the relation between relaxation time and dynamical exponent z, for various values of boundary dimension d and operator scaling dimension. It is found that for d > z + 1, at zero momenta, the modes are underdamped, where as for d a parts per thousand currency sign z + 1 the system is always overdamped. For d = z + 1 and zero momenta, we present analytical results.