Chiral anomaly in Euler fluid and Beltrami flow
Abstract We show that barotropic flows of a perfect, charged, classical fluid exhibit an anomaly analogous to the chiral anomaly known in quantum field theories with Dirac fermions. A prominent effect of the chiral anomaly is the transport electric current in the fluid at equilibrium with the chiral...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2022)038 |
| _version_ | 1797865765992398848 |
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| author | P. B. Wiegmann A. G. Abanov |
| author_facet | P. B. Wiegmann A. G. Abanov |
| author_sort | P. B. Wiegmann |
| collection | DOAJ |
| description | Abstract We show that barotropic flows of a perfect, charged, classical fluid exhibit an anomaly analogous to the chiral anomaly known in quantum field theories with Dirac fermions. A prominent effect of the chiral anomaly is the transport electric current in the fluid at equilibrium with the chiral reservoir. We find that it is also a property of celebrated Beltrami flows — stationary solutions of the Euler equation with an extensive helicity. |
| first_indexed | 2024-04-09T23:14:31Z |
| format | Article |
| id | doaj.art-c74f32a12c084110b27611d8dbb9301f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:14:31Z |
| publishDate | 2022-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c74f32a12c084110b27611d8dbb9301f2023-03-22T10:12:08ZengSpringerOpenJournal of High Energy Physics1029-84792022-06-012022611610.1007/JHEP06(2022)038Chiral anomaly in Euler fluid and Beltrami flowP. B. Wiegmann0A. G. Abanov1Kadanoff Center for Theoretical Physics, University of ChicagoDepartment of Physics and Astronomy and Simons Center for Geometry and Physics, Stony Brook UniversityAbstract We show that barotropic flows of a perfect, charged, classical fluid exhibit an anomaly analogous to the chiral anomaly known in quantum field theories with Dirac fermions. A prominent effect of the chiral anomaly is the transport electric current in the fluid at equilibrium with the chiral reservoir. We find that it is also a property of celebrated Beltrami flows — stationary solutions of the Euler equation with an extensive helicity.https://doi.org/10.1007/JHEP06(2022)038Anomalies in Field and String TheoriesChern-Simons TheoriesField Theory HydrodynamicsTopological States of Matter |
| spellingShingle | P. B. Wiegmann A. G. Abanov Chiral anomaly in Euler fluid and Beltrami flow Journal of High Energy Physics Anomalies in Field and String Theories Chern-Simons Theories Field Theory Hydrodynamics Topological States of Matter |
| title | Chiral anomaly in Euler fluid and Beltrami flow |
| title_full | Chiral anomaly in Euler fluid and Beltrami flow |
| title_fullStr | Chiral anomaly in Euler fluid and Beltrami flow |
| title_full_unstemmed | Chiral anomaly in Euler fluid and Beltrami flow |
| title_short | Chiral anomaly in Euler fluid and Beltrami flow |
| title_sort | chiral anomaly in euler fluid and beltrami flow |
| topic | Anomalies in Field and String Theories Chern-Simons Theories Field Theory Hydrodynamics Topological States of Matter |
| url | https://doi.org/10.1007/JHEP06(2022)038 |
| work_keys_str_mv | AT pbwiegmann chiralanomalyineulerfluidandbeltramiflow AT agabanov chiralanomalyineulerfluidandbeltramiflow |