Universal Properties of the Langevin Diffusion Coefficients

Understand

We show that in generic isotropic holographic theories the longitudinal Langevin diffusion coefficient along the string motion is larger compared to that of the transverse direction.

• We argue that this is a universal relation and we derive the generic conditions in order to be satisfied.
• A way to violate the relation is to consider anisotropic gauge/gravity dualities.
• We give an explicit example of this violation where the noise along the transverse direction is larger than the noise occurring along the quark motion.