Crumpled Wires and Liouville Field Theory
Bruno Carneiro da Cunha
TL;DR
This paper explores the packing behavior of wires in 2D using conformal maps and Coulomb gas formalism, drawing an analogy to Liouville field theory and 2D gravity, revealing new scaling properties.
Contribution
It introduces a novel application of conformal field theory techniques to model wire packing and establishes an analogy with Liouville theory and 2D gravity.
Findings
Derived scaling properties of wire packing
Established analogy with Liouville field theory
Applied Coulomb gas formalism to a new physical system
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.
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