DOI 10.1007/s100529901092
On the universality of matrix models for random surfaces
A. Schneider - Th. Filk
FB 7, Theoretische Physik, Universität Essen, D-45117 Essen, Germany - Institut für Theoretische Physik, Universität Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany
Received: 9 Novemver 1998 / Published online: 1 March 1999
Abstract
We present an alternative procedure to eliminate irregular contributions
in the perturbation expansion of 
-matrix models
representing the sum over triangulations of random surfaces, thereby
reproducing the results of Tutte [#!Tutte!#] and Brézin et
al.[#!bipz!#] for the planar model. The advantage of this method is that
the universality of the critical exponents can be proven from general
features of the model alone
without explicit determination of the free energy
and therefore allows for several straightforward generalizations including
cases with non-vanishing central charge c< 1.
Copyright Springer-Verlag
