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Enstrophy from symmetry

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arxiv 2009.03980 v2 pith:YTASCQ57 submitted 2020-09-08 hep-th

Raja Marjieh , Natalia Pinzani-Fokeeva , Amos Yarom This is my paper
classification hep-th
keywords associatedenstrophyrelativisticsymmetrycurrenteffectiveaccidentalaction
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abstract

We study symmetry principles associated with the approximately conserved enstrophy current, responsible for the inverse {energy} cascade in non relativistic $2+1$ dimensional turbulence. We do so by identifying the accidental symmetry associated with enstrophy current conservation in a recently realized effective action principle for hydrodynamics. Our analysis deals with both relativistic and non relativistic effective actions and their associated symmetries.

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  1. Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints

    gr-qc 2026-08 conditional novelty 5.0 of 10

    General relativity admits a magnetic Weyl enstrophy whose approximate conservation, together with energy, enforces a gravitational Fjørtoft constraint biasing nonlinear energy transfer toward lower frequencies in near...

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