Abstract
By making use of a covariant formulation of the chiral kinetic theory in the relaxation-time approximation, we derive the first-order dissipative hydrodynamics equations for a charged chiral plasma with background electromagnetic fields. We identify the global equilibrium state for a rotating chiral plasma confined to a cylindrical region with realistic boundary conditions. Then, by using linearized hydrodynamic equations, supplemented by the Maxwell equations, we study hydrodynamic modes of magnetized rotating chiral plasma in the regimes of high temperature and high density. We find that, in both regimes, dynamical electromagnetism has profound effects on the spectrum of propagating modes. In particular, there are only the sound and Alfv\'en waves in the regime of high temperature, and the plasmons and helicons at high density. We also show that the chiral magnetic wave is universally overdamped because of high electrical conductivity in plasma that causes an efficient screening of charge fluctuations. The physics implications of the main results are briefly discussed.
Highlights
Chiral plasmas can be realized in a number of physical systems, ranging from degenerate forms of dense matter in compacts stars [1,2] to hot plasmas in the early universe [3,4,5] and heavy-ion collisions [6,7,8]
Dynamical electromagnetism plays an essential role in shaping the physical properties of collective modes
We address the qualitative features of collective modes and the role of dynamical electromagnetism in the chiral hydrodynamics framework
Summary
Chiral plasmas can be realized in a number of physical systems, ranging from degenerate forms of dense matter in compacts stars [1,2] to hot plasmas in the early universe [3,4,5] and heavy-ion collisions [6,7,8]. A partial list of such phenomena includes the chiral magnetic [13], chiral separation [14,15], and chiral vortical [16,17,18,19,20,21,22,23,24] effects Such effects modify the transport properties of relativistic matter and give rise to new types of low-energy collective modes [25,26,27,28]. A truly covariant formulation of the CKT in background electromagnetic fields that treats collisions self-consistently was obtained recently in Refs. By making use of the covariant formulation of the CKT [46,47] in the relaxation-time approximation, we derive the equations of dissipative hydrodynamics for a magnetized chiral plasma with nonzero vorticity and study its collective modes.
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