Almost flat planar diagrams

@article{Kazakov1996AlmostFP,
title={Almost flat planar diagrams},
author={Vladimir A. Kazakov and Matthias Staudacher and Thomas Wynter},
journal={Communications in Mathematical Physics},
year={1996},
volume={179},
pages={235-256}
}
• Published 27 June 1995
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• Communications in Mathematical Physics
We continue our study of matrix models of dually weighted graphs. Among the attractive features of these models is the possibility to interpolate between ensembles of regular and random two-dimensional lattices, relevant for the study of the crossover from two-dimensional flat space to two-dimensional quantum gravity. We further develop the formalism of largeN character expansions. In particular, a general method for determining the largeN limit of a character is derived. This method, aside…
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• 1980
The planar approximation is reconsidered. It is shown that a saddle point method is ineffective, due to the large number of degrees of freedom. The problem of eliminating angular variables is