MATRIX MODEL PERTURBED BY HIGHER ORDER CURVATURE TERMS
- 30 October 1992
- journal article
- Published by World Scientific Pub Co Pte Ltd in Modern Physics Letters A
- Vol. 7 (33) , 3081-3100
- https://doi.org/10.1142/s0217732392002470
Abstract
The critical behavior of the D=0 matrix model with the potential perturbed by a nonlocal term generating touchings between random surfaces is studied. It is found that the phase diagram of the model has many features of the phase diagram of discretized Polyakov’s bosonic string with higher order curvature terms included. It contains the phase of smooth (Liouville) surfaces, the intermediate phase and the phase of branched polymers. The perturbation becomes irrelevant at the first phase and dominates at the third one.Keywords
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