Vortical waves in a quantum fluid with vector, axial, and helical charges. I. Non-dissipative transport

Abstract

Due to the spin-orbit coupling, Dirac fermions, submerged in a thermal bath with finite macroscopic vorticity, exhibit a spin polarisation along the direction parallel to the vorticity vector $\mathbf{\Omega }$. Due to the symmetries of the Lagrangian for free massless Dirac particles, there are three independent and classically conserved currents corresponding to the vector, axial, and helical charges. The constitutive relations for the charge currents and the stress-energy tensor at thermal equilibrium, derived in the framework of quantum field theory at finite temperature, reveal vorticity-induced contributions that deviate from the perfect fluid form. In this paper, we consider the mode structure of the corresponding hydrodynamical theory and derive collective excitations associated with coherent fluctuations of all three charges. We show that the chirally imbalanced rotating fluid should possess non-reciprocal gapless waves that propagate with different velocities along and opposite to the vorticity vector. We also uncover a strictly unidirectional mode, which we call the Axial Vortical Wave, propagating in the background of the axial charge density. The emergence of this wave can be traced back to earlier studies of vortical chiral fluids in a hydrodynamic approach. We also point out an unexpected instability in the limit of degenerate matter and discuss possible solutions when helicity and axial charge non-conservation are taken into account.

36 pages, 6 figures, 1 table. Part 1

References in corpus (43)

• The Chiral Magnetic Effect
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Topological mechanics of gyroscopic metamaterials
• Topologically protected elastic waves in phononic metamaterials
• "Strongly interacting matter in magnetic fields": an overview
• Gravitational Anomaly and Transport
• Anomalous Axion Interactions and Topological Currents in Dense Matter
• Chiral Magnetic Wave
• Quantum Anomalies in Dense Matter
• Chiral symmetry and density wave in quark matter
• Azimuthally fluctuating magnetic field and its impacts on observables in heavy-ion collisions
• Relativistic hydrodynamics for spin-polarized fluids
• Universality of transport properties in equilibrium, Goldstone theorem and chiral anomaly
• Dirac, Majorana and Weyl fermions
• Global polarization measurement in Au+Au collisions
• Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
• Charge-dependent Flow Induced by Magnetic and Electric Fields in Heavy Ion Collisions
• Chiral vortical wave and induced flavor charge transport in a rotating quark-gluon plasma
• Initial value problem for magnetic field in heavy ion collisions
• Anomalous Hydrodynamics
• Lattice study of electromagnetic conductivity of quark-gluon plasma in external magnetic field
• Quantum corrections to the stress-energy tensor in thermodynamic equilibrium with acceleration
• Spin and polarization: a new direction in relativistic heavy ion physics
• Vorticity and Spin Polarization in Heavy Ion Collisions: Transport Models
• Anisotropic hydrodynamics, holography and the chiral magnetic effect
• Chiral Alfvén Wave in Anomalous Hydrodynamics
• Chiral Heat Wave and mixing of Magnetic, Vortical and Heat waves in chiral media
• Second-order dissipative hydrodynamics for plasma with chiral asymmetry and vorticity
• Chiral Relaxation Time at the Crossover of Quantum Chromodynamics
• Helical massive fermions under rotation
• Chiral sound waves in strained Weyl semimetals
• Thermodynamic equilibrium of massless fermions with vorticity, chirality and electromagnetic field
• Hyperon--anti-hyperon polarization asymmetry in relativistic heavy-ion collisions as an interplay between chiral and helical vortical effects
• Thermal chiral vortical and magnetic waves: new excitation modes in chiral fluids
• Hydrodynamic Waves in an Anomalous Charged Fluid
• Strongly Interacting Matter Under Rotation: An Introduction
• Collective Excitations in Hot QCD Plasma
• Exact solutions in quantum field theory under rotation
• Hydrodynamic Excitations from Chiral Kinetic Theory and the Hydrodynamic Frames
• The magnetic dual chiral density wave phase in a rotating cold quark matter
• The role of Pryce's spin and coordinate operators in the theory of massive Dirac fermions
• Helical Separation Effect and helical heat transport for Dirac fermions
• Vortical waves in a quantum fluid with vector, axial, and helical charges. I. Non-dissipative transport

Cited by in corpus (2)

• 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