Field theory of the Eulerian perfect fluid

Taketo Ariki, Pablo A. Morales

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


The Eulerian perfect-fluid theory is reformulated from its action principle in a pure field-theoretic manner. Conservation of the convective current is no longer imposed by Lin's constraints, but rather adopted as the central idea of the theory. Our formulation, for the first time, successfully reduces redundant degrees of freedom promoting one half of the Clebsch variables to true dynamical fields. Interactions on these fields allow for the exchange of the convective current of quantities such as mass and charge, which are uniformly understood as the breaking of the underlying symmetry of the force-free fluid. The Clebsch fields play the essential role of exchanging angular momentum with the force field producing vorticity.

Original languageEnglish
Article number015007
JournalClassical and Quantum Gravity
Issue number1
Publication statusPublished - 2018 Jan 11
Externally publishedYes


  • action principle
  • canonical formalism
  • gauge theory
  • perfect fluid

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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