Hydrodynamic modes in magnetized chiral plasma with vorticity

Many physical systems can be viewed as plasmas made of chiral particles. Examples include the quark-gluon plasma produced in the heavy-ion collisions, electron fluids of Weyl semimetals, lepton and quark matter in compact stars, supernovas and the early Universe. Hydrodynamics is a powerful tool for describing a long-wavelength behavior of such systems when the first-principles quantum field theory calculations become impractical.

In this talk I will briefly review the phenomenology of chiral plasmas and lay a roadmap for deriving the hydrodynamical equations from the chiral kinetic theory and underlying quantum field theory. Then I will present the equilibrium state and collective modes in a rotating chiral plasma subjected to an external magnetic field. Lastly, I will argue the necessity of dynamical treatment of electromagnetic and plasma parameters and discuss further problems.