Emergent symmetries of relativistic fluid dynamics from local ergodicity
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909131608162304 |
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| author | Torrieri, Giorgio |
| author_facet | Torrieri, Giorgio |
| contents | We show that volume-preserving diffomorphisms and the chemical shift symmetry defining relativistic lagrangian ideal fluid dynamics can be derived as an emerging symmetry when ergodicity is assumed to apply locally in a way that is invariant under smooth spacetime foliations. This can be used as a way to derive the ideal hydrodynamic limit in a strongly coupled but strongly fluctuating medium.
We comment on the connection with thermalization in small systems, the Eigenstate thermalization hypothesis and deviations from the ideal limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_07021 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Emergent symmetries of relativistic fluid dynamics from local ergodicity Torrieri, Giorgio High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology Nuclear Theory We show that volume-preserving diffomorphisms and the chemical shift symmetry defining relativistic lagrangian ideal fluid dynamics can be derived as an emerging symmetry when ergodicity is assumed to apply locally in a way that is invariant under smooth spacetime foliations. This can be used as a way to derive the ideal hydrodynamic limit in a strongly coupled but strongly fluctuating medium. We comment on the connection with thermalization in small systems, the Eigenstate thermalization hypothesis and deviations from the ideal limit. |
| title | Emergent symmetries of relativistic fluid dynamics from local ergodicity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2307.07021 |