Global Anomalies, Discrete Symmetries, and Hydrodynamic Effective Actions

Abstract

We derive effective actions for parity-violating fluids in both $(3+1)$ and $(2+1)$ dimensions, including those with anomalies. As a corollary we confirm the most general constitutive relations for such systems derived previously using other methods. We discuss in detail connections between parity-odd transport and underlying discrete symmetries. In (3+1) dimensions we elucidate connections between anomalous transport coefficients and global anomalies, and clarify a previous puzzle concerning transports and local gravitational anomalies.

arXiv comment48 pages, 1 figure. v2: Updated references

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• New developments in relativistic magnetohydrodynamics
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• Anomalous Currents and Constitutive Relations of a Chiral Hadronic Superfluid
• Anomalous chiral transport with vorticity and torsion: Cancellation of two mixed gravitational anomaly currents in rotating chiral $p+ip$ Weyl condensates
• Anomaly-induced transport phenomena from the imaginary-time formalism
• Anomalous hydrodynamics with triangular point group in 2 + 1 dimensions
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• Anomalous transport model with axial magnetic fields
• Global anomaly matching in higher-dimensional ${\mathbb{CP}}^{N-1}$ model
• Positive magnetoresistance induced by hydrodynamic fluctuations in chiral media
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• Correlation functions of the Bjorken flow in the holographic Schwinger-Keldysh approach
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• Dynamic and Thermodynamic Stability of Charged Perfect Fluid Stars
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• Chiral transport in curved spacetime via holography
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• Dynamical gauge fields and anomalous transport at strong coupling