Hydrodynamic gradient expansion in gauge theory plasmas

Understand

We utilize the fluid-gravity duality to investigate the large order behavior of hydrodynamic gradient expansion of the dynamics of a gauge theory plasma system.

• This corresponds to the inclusion of dissipative terms and transport coefficients of very high order.
• Using the dual gravity description, we calculate numerically the form of the stress tensor for a boost-invariant flow in a hydrodynamic expansion up to terms with 240 derivatives.
• We observe a factorial growth of gradient contributions at large orders, which indicates a zero radius of convergence of the hydrodynamic series.