Transport coefficients in AdS/CFT and quantum gravity corrections due to a functional measure

The presence of a functional measure is scrutinized on both sides the dual gauge/gravity correspondence. Corrections to transport coefficients in relativistic hydrodynamics are obtained using linear response procedure. In particular, first-order hydrodynamics, shear viscosity, entropy density, diffusion constant, and speed sound shown not acquire any corrections from gravity, for Minkowski background metric. On other hand, energy pressure, relaxation time, bulk decay rate waves, conformal traceless tensor fields, carry significant quantum due measure, even flat background. They all an imaginary part that reflects instability strongly-coupled fluids boundary CFT. This opens up possibility testing gravity with quark-gluon plasma.