Axial-Current Anomaly in Euler Fluid

Fuente: arXiv
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Auteurs principaux: Abanov, A. G., Wiegmann, P. B.
Format: Preprint
Publié: 2021
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author Abanov, A. G.
Wiegmann, P. B.
author_facet Abanov, A. G.
Wiegmann, P. B.
contents 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 $\partial_μj_{A}^μ= 2\,\bf E\!\cdot\! \bf B$ similar to that of the axial current of a quantum field theory with Dirac fermions such as QED.
format Preprint
id arxiv_https___arxiv_org_abs_2110_11480
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Axial-Current Anomaly in Euler Fluid
Abanov, A. G.
Wiegmann, P. B.
High Energy Physics - Theory
Other Condensed Matter
Fluid Dynamics
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 $\partial_μj_{A}^μ= 2\,\bf E\!\cdot\! \bf B$ similar to that of the axial current of a quantum field theory with Dirac fermions such as QED.
title Axial-Current Anomaly in Euler Fluid
topic High Energy Physics - Theory
Other Condensed Matter
Fluid Dynamics
url https://arxiv.org/abs/2110.11480