The statistical dynamics of thin vortex line
Abstract
We discuss the statistical properties of a single vortex line in a perfect fluid. The partition function is calculated up to the end in the thin vortex approximation. It turns out that corresponding theory is renormalizable, and the renormalization law for the core size of the vortex is found. The direction of renormalization group flow makes the thin vortex approximation to be valid for the interest cases and this result does not depend on the choice of infrared regularization. The expressions for some gaugeinvariant correlators are obtained to demonstrate the developed formalism at work.
 Publication:

arXiv eprints
 Pub Date:
 June 2001
 DOI:
 10.48550/arXiv.physics/0106075
 arXiv:
 arXiv:physics/0106075
 Bibcode:
 2001physics...6075P
 Keywords:

 Fluid Dynamics
 EPrint:
 6 pages, fullpage