Anomalies in fluid dynamics: flows in a chiral background via variational principle
arXiv:2207.10195 · doi:10.1088/1751-8121/ac9202
Abstract
We study flows of barotropic perfect fluid under the simultaneous action of the electromagnetic field and the axial-vector potential, the external field conjugate to the fluid helicity. We obtain the deformation of the Euler equation by the axial-vector potential and the deformations of various currents by two external fields. We show that the divergence of the vector and axial currents are controlled by the chiral anomaly known in quantum field theories with Dirac fermions. We obtain these results by extending the variational principle for barotropic flows of a perfect fluid by coupling with the external axial-vector potential.
arXiv comment13 pages, no figures; typos corrected, references added
References in corpus (14)
- Hydrodynamics with Triangle Anomalies
- Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
- Chiral Kinetic Theory
- Constraints on Fluid Dynamics from Equilibrium Partition Functions
- Relativistic Hydrodynamics with General Anomalous Charges
- Thermodynamics, gravitational anomalies and cones
- The chiral magnetic effect in hydrodynamical approach
- Effective actions for anomalous hydrodynamics
- Fluids, Anomalies and the Chiral Magnetic Effect: A Group-theoretic Formulation
- Local and Nonlocal Advected Invariants and Helicities in Magnetohydrodynamics and Gas Dynamics II: Noether's Theorems and Casimirs
- Hydrodynamics with gauge anomaly: Variational principle and Hamiltonian formulation
- Conservation laws and evolution schemes in geodesic, hydrodynamic and magnetohydrodynamic flows
- Axial-Current Anomaly in Euler Fluid
- Chiral Anomaly in Euler Fluid and Beltrami Flow