Chern-Simons modification of Fluid Mechanics
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912479949357056 |
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| author | Wiegmann, P. B. |
| author_facet | Wiegmann, P. B. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09751 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Chern-Simons modification of Fluid Mechanics Wiegmann, P. B. High Energy Physics - Theory Strongly Correlated Electrons 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. |
| title | Chern-Simons modification of Fluid Mechanics |
| topic | High Energy Physics - Theory Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2405.09751 |