On the anomalous superfluid hydrodynamics

Abstract

It has been shown by Son and Surówka that the presence of anomaly in hydrodynamics with global U(1) symmetry can induce vortical and magnetic currents. The induced current is uniquely determined by anomaly from the existence of an entropy current with non-negative divergence. In this work, we extended the analysis to hydrodynamics with U(1) symmetry spontaneously broken, i.e. U(1) superfluid hydrodynamics. We found that all possible first order gradient corrections are determined up to five arbitrary functions, with the entropy current containing one arbitrary function. Furthermore, the stress tensor does not receive correction from terms proportional to the magnetic field.

22 pages, missing terms included, with qualitative change of the results

References in corpus (15)

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• Chiral Magnetic Wave
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Chiral magnetic wave at finite baryon density and the electric quadrupole moment of quark-gluon plasma in heavy ion collisions
• Bulk viscosity of gauge theory plasma at strong coupling
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• The chiral magnetic effect in hydrodynamical approach
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• Fluid/gravity model for the chiral magnetic effect
• Chiral Magnetic Spiral
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Cited by in corpus (19)

• Berry curvature and 4-dimensional monopole in relativistic chiral kinetic equation
• Parity-Violating Hydrodynamics in 2+1 Dimensions
• Anomalies and time reversal invariance in relativistic hydrodynamics: the second order and higher dimensional formulations
• Axial Current Generation from Electric Field: Chiral Electric Separation Effect
• A theory of first order dissipative superfluid dynamics
• Low-energy effective field theory for finite-temperature relativistic superfluids
• Relativistic Particle and Relativistic Fluids: Magnetic Moment and Spin-Orbit Interactions
• From a complex scalar field to the two-fluid picture of superfluidity
• An anomalous hydrodynamics for chiral superfluid
• Chiral Magnetic Effect in Heavy Ion Collisions: The Present and Future
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
• Anomalous Transport in Holographic Chiral Superfluids via Kubo Formulae
• Non-Abelian Anomalous (Super)Fluids in Thermal Equilibrium from Differential Geometry
• The Isospin Asymmetry in Anomalous Fluid Dynamics
• Gradient resummation for nonlinear chiral transport: an insight from holography
• Hydrodynamics of topological Dirac semi-metals with chiral and ${\mathbb{Z}}_2$ anomalies
• The anomalous transport of axial charge: topological vs non-topological fluctuations
• Notes on relativistic superfluidity and gauge/string duality
• Anomalous hydrodynamics with dyonic charge