Matrix Model Perturbed by Higher Order Curvature Terms

Details Matrix Model Perturbed by Higher Order Curvature Terms Matrix Model Perturbed by Higher Order Curvature Terms

1992-05-07

arxiv.org/abs/hep-th/9205014v1

Mod.Phys.Lett. A7 (1992) 3081-3100

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 1 figure (included)

Scientific paper

The critical behaviour of the $D=0$ matrix model with potential perturbed by 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.

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