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Axial-Current Anomaly in Euler Fluids.

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We argue that a close analog of the axial-current anomaly of quantum field theories with fermions occurs in the classical Euler fluid. The conservation of the axial current (closely related… Click to show full abstract

We argue that a close analog of the axial-current anomaly of quantum field theories with fermions occurs in the classical Euler fluid. The conservation of the axial current (closely related to the helicity of inviscid barotropic flow) is anomalously broken by the external electromagnetic field as ∂_{μ}j_{A}^{μ}=2E·B, similar to that of the axial current of a quantum field theory with Dirac fermions, such as QED.

Keywords: current anomaly; euler fluids; anomaly euler; axial current

Journal Title: Physical review letters
Year Published: 2022

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