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Axial-Current Anomaly in Euler Fluids

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 02 Feb 2022Embargo end date: 01 Jan 2021 United States Publisher:American Physical Society (APS)Journal:Physical Review Letters, volume 128 (issn: 0031-9007, eissn: 1079-7114,

Authors: A. G. Abanov; P. B. Wiegmann;

doi: 10.1103/physrevlett.128.054501 , 10.48550/arxiv.2110.11480

pmid: 35179946

arXiv: http://arxiv.org/abs/2110.11480

Axial-Current Anomaly in Euler Fluids

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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 $\partial_μj_{A}^μ= 2\,\bf E\!\cdot\! \bf B$ similar to that of the axial current of a quantum field theory with Dirac fermions such as QED.

6 pages, LaTeX; typos corrected, references added

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United States

Related Organizations

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Keywords

High Energy Physics - Theory, Condensed Matter - Other Condensed Matter, High Energy Physics - Theory (hep-th), Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, 530, Other Condensed Matter (cond-mat.other)

3 Research products, page 1 of 1

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