The Weingarten Model a la Polyakov
High Energy Physics - Theory
2015-06-26 v1
Abstract
The Weingarten lattice gauge model of Nambu-Goto strings is generalised to allow for fluctuations of an intrinsic worldsheet metric through a dynamical quadrilation. The continuum limit is taken for matter, reproducing the results of hermitian matrix models to all orders in the genus expansion. For the compact case the vortices are Wilson lines, whose exclusion leads to the theory of non-interacting fermions. As a by-product of the analysis one finds the critical behaviour of SOS and vertex models coupled to 2D quantum gravity.
Cite
@article{arxiv.hep-th/9203019,
title = {The Weingarten Model a la Polyakov},
author = {S. Dalley},
journal= {arXiv preprint arXiv:hep-th/9203019},
year = {2015}
}
Comments
16 pages (5 illustrations not included)