Chern-Simons modification of Fluid Mechanics

P. B. Wiegmann

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arXiv · 2405.09751

Chern-Simons modification of Fluid Mechanics

P. B. Wiegmann

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Abstract

We show that the hydrodynamics of a perfect fluid admits a natural modification that incorporates a chiral gravitational anomaly (also known as a mixed gauge-gravity anomaly) alongside the chiral current anomaly. This modification introduces in parallel a gravitational and gauge Chern-Simons terms in a manner analogous to the Jackiw-Pi Chern-Simons modification of gravity, and features an axion in fluid mechanics. As a result, flows of a spinless perfect fluid acquire spin through motion, with the spin being equal to the fluid helicity. Furthermore, spacetime curvature induces an analogue of the Mathisson-Papapetrou force and a geometric counterpart of the chiral magnetic effect.

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P. B. Wiegmann. 2024-05-16. Chern-Simons modification of Fluid Mechanics. https://arxiv.org/abs/2405.09751

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