Collective Excitations in Hot QCD Plasma

Abstract

We study the long wavelength excitations in rotating QCD fluid in presence of an external magnetic field at finite vector and axial charge densities. We consider the fluctuations of vector and axial charge currents coupled to energy and momentum fluctuations and compute the $SO(3)$ covariant dispersion relations of the six corresponding hydrodynamic modes. Among them, there are always two scalar Chiral Magnetic-Vortical-Heat (CMVH) waves; In the absence of magnetic field (vorticity) these waves reduce to CVH (CMH) waves. While CMVH waves are the mixed of CMH and CVH waves, they have generally different velocities compared to the sum of velocities of the latter waves. The other four modes, which are made out of scalar-vector fluctuations, are mixed Sound-Alfvén waves. We show that in the direction parallel to both magnetic field and vorticity, these four modes are the two ordinary sound modes together with two Chiral Alfvén waves (CAW).

34 pages, 3 figures, 4 tables, v2: one table removed, anomalous transport coefficients corrected, a subsection on Chiral Heat Wave added, references added, v3: PRD version

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Cited by in corpus (9)

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• Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
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• Hydrodynamic modes in a magnetized chiral plasma with vorticity
• Hydrodynamic Excitations from Chiral Kinetic Theory and the Hydrodynamic Frames
• The effect of magnetization and electric polarization on the anomalous transport coefficients of a chiral fluid
• Hydrodynamic fluctuations and long-time tails in a fluid on an anisotropic background
• Vortical waves in a quantum fluid with vector, axial, and helical charges. I. Non-dissipative transport
• Vortical waves in a quantum fluid with vector, axial and helical charges. II. Dissipative effects