The Kosterlitz-Thouless Phenomenon on a Fluid Random Surface
High Energy Physics - Theory
2011-07-19 v3 Condensed Matter
Abstract
The problem of a periodic scalar field on a two-dimensional dynamical random lattice is studied with the inclusion of vortices in the action. Using a random matrix formulation, in the continuum limit for genus zero surfaces the partition function is found exactly, as a function of the chemical potential for vortices of unit winding number, at a specific radius in the plasma phase. This solution is used to describe the Kosterlitz- Thouless phenomenon in the presence of 2D quantum gravity as one passes from the ultra-violet to the infra-red.
Cite
@article{arxiv.hep-th/9309068,
title = {The Kosterlitz-Thouless Phenomenon on a Fluid Random Surface},
author = {S. Dalley},
journal= {arXiv preprint arXiv:hep-th/9309068},
year = {2011}
}
Comments
15 pages. This version to appear in Nucl.Phys.B contains less introductory material (revised)