dorsal/arxiv
View SchemaThe statistical dynamics of thin vortex line
| Authors | D. Podolsky |
|---|---|
| Categories | |
| ArXiv ID | physics/0106075 |
| URL | https://arxiv.org/abs/physics/0106075 |
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 gauge-invariant correlators are obtained to demonstrate the developed formalism at work.
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"date_created": "2026-03-02T18:00:35.984000Z",
"date_modified": "2026-03-02T18:00:35.984000Z",
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"abstract": "We discuss the statistical properties of a single vortex line in a perfect\nfluid. The partition function is calculated up to the end in the thin vortex\napproximation. It turns out that corresponding theory is renormalizable, and\nthe renormalization law for the core size of the vortex is found. The direction\nof renormalization group flow makes the thin vortex approximation to be valid\nfor the interest cases and this result does not depend on the choice of\ninfrared regularization. The expressions for some gauge-invariant correlators\nare obtained to demonstrate the developed formalism at work.",
"arxiv_id": "physics/0106075",
"authors": [
"D. Podolsky"
],
"categories": [
"physics.flu-dyn"
],
"title": "The statistical dynamics of thin vortex line",
"url": "https://arxiv.org/abs/physics/0106075"
},
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