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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2303.15229 |
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| _version_ | 1866916144078651392 |
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| author | Nastase, Horatiu Sonnenschein, Jacob |
| author_facet | Nastase, Horatiu Sonnenschein, Jacob |
| contents | 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 an Euler fluid coupled to 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 (non-gauge) action for the Euler fluid that can be extended to any dimension, including the physical 3+1 dimensions. We discuss several aspects of the ABC flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_15229 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Euler fluid in 2+1 dimensions as a gauge theory, and an action for the Euler fluid in any dimension Nastase, Horatiu Sonnenschein, Jacob High Energy Physics - Theory Fluid Dynamics 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 an Euler fluid coupled to 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 (non-gauge) action for the Euler fluid that can be extended to any dimension, including the physical 3+1 dimensions. We discuss several aspects of the ABC flow. |
| title | Euler fluid in 2+1 dimensions as a gauge theory, and an action for the Euler fluid in any dimension |
| topic | High Energy Physics - Theory Fluid Dynamics |
| url | https://arxiv.org/abs/2303.15229 |