Metafluid dynamics as a gauge field theory

Details Metafluid dynamics as a gauge field theory Metafluid dynamics as a gauge field theory

2001-09-11

arxiv.org/abs/hep-th/0109088v1

Braz.J.Phys.33:346-354,2003

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, no figures, Revtex file

Scientific paper

In this paper, the analog of Maxwell electromagnetism for hydrodynamic turbulence, the metafluid dynamics, is extended in order to reformulate the metafluid dynamics as a gauge field theory. That analogy opens up the possibility to investigate this theory as a constrained system. Having this possibility in mind, we propose a Lagrangian to describe this new theory of turbulence and, subsequently, analyze it from the symplectic point of view. From this analysis, a hidden gauge symmetry is revealed, providing a clear interpretation and meaning of the physics behind the metafluid theory. Further, the geometrical interpretation to the gauge symmetries is discussed and the spectrum for 3D turbulence computed.

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