On the Nature of Nonperturbative Effects in Stabilized 2D Quantum Gravity

Details On the Nature of Nonperturbative Effects in Stabilized 2D Quantum Gravity On the Nature of Nonperturbative Effects in Stabilized 2D Quantum Gravity

1993-09-27

arxiv.org/abs/hep-th/9309139v1

Mod.Phys.Lett. A9 (1994) 2253-2264

Physics

High Energy Physics

High Energy Physics - Theory

20 pages in Latex and 4 figures in Postscript, IEM-FT-65/92

Scientific paper

We remark that the weak coupling regime of the stochastic stabilization of 2D quantum gravity has a unique perturbative vacuum, which does not support instanton configurations. By means of Monte Carlo simulations we show that the nonperturbative vacuum is also confined in one potential well. Nonperturbative effects can be assessed in the loop equation. This can be derived from the Ward identities of the stabilized model and is shown to be modified by nonperturbative terms.

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