Transport and response coefficients in second-order dissipative relativistic hydrodynamics with quantum corrections: probing the quark-gluon plasma

A functional measure encompasses quantum corrections and is explored in the fluid/gravity correspondence. Corrections to response and transport coefficients in the second-order dissipative relativistic hydrodynamics are proposed, including the ones to the pressure, the relaxation time, and the shear relaxation. Their dependence on the quark-gluon plasma (QGP) temperature sets a temperature dependence on the running parameter encoding the one-loop quantum gravity correction, driven by a functional measure. The experimental range of the bulk viscosity-to-entropy density ratio of the QGP corroborates the existence of the functional measure.