The Two-Dimensional O(2) Model on a Random Planar Lattice at Strong Coupling
High Energy Physics - Theory
2009-10-30 v1
Abstract
The large spacing phase of the infinite random matrix chain, which represents the strongly coupled two-dimensional O(2) model on a random planar lattice, is explored. A class of solutions valid for large lattice spacings is constructed. It is proved that these solutions exhibit the critical exponents characteristic of pure two-dimensional gravity. The character expansion for the chain model is developed and an order parameter governing the Kosterlitz--Thouless phase transition is identified.
Cite
@article{arxiv.hep-th/9701148,
title = {The Two-Dimensional O(2) Model on a Random Planar Lattice at Strong Coupling},
author = {A. Matytsin and P. Zaugg},
journal= {arXiv preprint arXiv:hep-th/9701148},
year = {2009}
}
Comments
30 pages, 7 postscript figures