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  • Letter
  • Open Access

Emergent symmetries of relativistic fluid dynamics from local ergodicity

Giorgio Torrieri*

  • Universidade Estadual de Campinas, Instituto de Fisica “Gleb Wataghin”, Rua Sérgio Buarque de Holanda, 777, CEP 13083-859, Campinas SP, Brazil

  • *torrieri@ifi.unicamp.br
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Phys. Rev. D 109, L051903 – Published 28 March, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.L051903

Abstract

We show that volume-preserving diffeomorphisms 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.

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Outline

Information

Phys. Rev. D 109, L051903– Published 28 March, 2024
  • Received 18 July 2023
  • Accepted 7 March 2024
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