Chiral actions from phase space (quantum Hall) droplets
High Energy Physics - Theory
2010-04-05 v2 Mesoscale and Nanoscale Physics
Fluid Dynamics
Abstract
We derive the hamiltonian and canonical structure for arbitrary deformations of a phase space (quantum Hall) droplet on a general manifold of any dimension. The derivation is based on a transformation that decouples the Casimirs of the density Poisson structure. The linearized theory reproduces the edge state chiral action of the droplets, while the nonlinear hamiltonian captures 1/N quantum corrections.
Cite
@article{arxiv.hep-th/0408194,
title = {Chiral actions from phase space (quantum Hall) droplets},
author = {Alexios P. Polychronakos},
journal= {arXiv preprint arXiv:hep-th/0408194},
year = {2010}
}
Comments
25 pages; new subsection with comparison to fluid mechanics