String Theory and Turbulence
arXiv:0912.2725 · doi:10.1142/S0217732310034109
Abstract
We propose a string theory of turbulence that explains the Kolmogorov scaling in 3+1 dimensions and the Kraichnan and Kolmogorov scalings in 2+1 dimensions. This string theory of turbulence should be understood in light of the AdS/CFT dictionary. Our argument is crucially based on the use of Migdal's loop variables and the self-consistent solutions of Migdal's loop equations for turbulence. In particular, there is an area law for turbulence in 2+1 dimensions related to the Kraichnan scaling.
LaTeX; 15 pages, two figures; v.2: slight changes to text, footnotes and references added