Convergence of hydrodynamics in a rotating strongly coupled plasma
Casey Cartwright, Markus A. G. Amano, Matthias Kaminski, Jorge Noronha, Enrico Speranza
Abstract
We compute the radius of convergence of the linearized relativistic hydrodynamic expansion around a nontrivially rotating strongly coupled $\mathcal{N}=4$ super-Yang-Mills plasma. Our results show that the validity of hydrodynamics is sustained and can even get enhanced for conformal field theory (CFT) in a rotating state. Analytic equations for the hydrodynamic dispersion relations and transport coefficients of the rotating plasma as a function of their values in a plasma at rest are given.
Topics & Concepts
PhysicsPlasmaConvergence (economics)Radius of convergenceConformal mapRADIUSFunction (biology)Classical mechanicsField (mathematics)Quantum electrodynamicsMathematical physicsMathematical analysisMechanicsMathematicsQuantum mechanicsEvolutionary biologyComputer securityPower seriesComputer scienceBiologyPure mathematicsEconomicsEconomic growthHigh-Energy Particle Collisions ResearchBlack Holes and Theoretical PhysicsCosmology and Gravitation Theories