Axial-Current Anomaly in Euler Fluids

A. G. Abanov; P. B. Wiegmann

doi:10.1103/PhysRevLett.128.054501

Axial-Current Anomaly in Euler Fluids

A. G. Abanov
, P. B. Wiegmann

The University of Chicago
St. Petersburg State University

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

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 Formula Presented, similar to that of the axial current of a quantum field theory with Dirac fermions, such as QED.

Original language	English
Article number	054501
Journal	Physical Review Letters
Volume	128
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevLett.128.054501
State	Published - Feb 4 2022

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title = "Axial-Current Anomaly in Euler Fluids",

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 Formula Presented, similar to that of the axial current of a quantum field theory with Dirac fermions, such as QED.",

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AB - 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 Formula Presented, similar to that of the axial current of a quantum field theory with Dirac fermions, such as QED.

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Axial-Current Anomaly in Euler Fluids

Abstract

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