Crumpled Wires and Liouville Field Theory
Statistical Mechanics
2009-11-13 v2 High Energy Physics - Theory
Abstract
The study of the packing of a length of wire in a two dimensional domain is done using techniques of conformal maps. The resulting scaling properties are derived through the Coulomb gas formalism of Conformal Field Theories. An analogy is drawn between this system and the 2D gravitational -- or Liouville -- coupling of non-conformally invariant matter in two dimensions.
Keywords
Cite
@article{arxiv.0805.2896,
title = {Crumpled Wires and Liouville Field Theory},
author = {Bruno Carneiro da Cunha},
journal= {arXiv preprint arXiv:0805.2896},
year = {2009}
}
Comments
4 pages, RevTeX4, Preliminary discussion changed to clarify the global structure