On gonihedric loops and quantum gravity
Statistical Mechanics
2009-11-11 v1 High Energy Physics - Theory
Abstract
We present an analysis of the gonihedric loop model, a reformulation of the two dimensional gonihedric spin model, using two different techniques. First, the usual regular lattice statistical physics problem is mapped onto a height model and studied analytically. Second, the gravitational version of this loop model is studied via matrix models techniques. Both methods lead to the conclusion that the model has for all values of the parameters of the model. In this way it is possible to understand the absence of a continuous transition.
Cite
@article{arxiv.cond-mat/0511122,
title = {On gonihedric loops and quantum gravity},
author = {D. Espriu and A. Prats},
journal= {arXiv preprint arXiv:cond-mat/0511122},
year = {2009}
}