Metafluid dynamics as a gauge field theory
High Energy Physics - Theory
2008-11-26 v1
Abstract
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.
Cite
@article{arxiv.hep-th/0109088,
title = {Metafluid dynamics as a gauge field theory},
author = {A. C. Rodrigues Mendes and W. Oliveira and C. Neves and F. I. Takakura},
journal= {arXiv preprint arXiv:hep-th/0109088},
year = {2008}
}
Comments
19 pages, no figures, Revtex file