@article{ff26523cd038440fa43994e622e86010,
title = "Euler fluid in 2+1 dimensions as a gauge theory and an action for the Euler fluid in any dimension",
abstract = "In this paper we parallel the construction of Tong of a gauge theory for shallow water, by writing a gauge theory for the Euler fluid in 2+1 dimensions. We then extend it to a Euler fluid coupled to an electromagnetic background. We argue that the gauge theory formulation provides a topological argument for the quantization of 2+1 dimensional Euler Hopfion solution. In the process, we find a (nongauge) action for the Euler fluid that can be extended to any dimension, including the physical 3+1 dimensions. We also discuss several aspects of the Arnold-Beltrami-Childress flow.",
author = "Horatiu Nastase and Jacob Sonnenschein",
note = "Publisher Copyright: {\textcopyright} 2024 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the {"}https://creativecommons.org/licenses/by/4.0/{"}Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.",
year = "2024",
month = apr,
day = "15",
doi = "10.1103/PhysRevD.109.085006",
language = "אנגלית",
volume = "109",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "8",
}