The Weingarten Model a la Polyakov

Details The Weingarten Model a la Polyakov The Weingarten Model a la Polyakov

1992-03-09

arxiv.org/abs/hep-th/9203019v1

Mod. Phys. Lett. A7 (1992) 1651-1660

Physics

High Energy Physics

High Energy Physics - Theory

16 pages (5 illustrations not included)

Scientific paper

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 $c\leq1$ matter, reproducing the results of hermitian matrix models to all orders in the genus expansion. For the compact $c=1$ 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.

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