Instantons in the Quantum Framework of 2D Gravity

J. Luis Miramontes; Joaquin Sanchez Guillen

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arXiv · hep-th/9110051

Instantons in the Quantum Framework of 2D Gravity

J. Luis Miramontes·Joaquin Sanchez Guillen

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Abstract

We analyze the non--perturbative features of 2D quantum gravity defined by stochastic regularization of the unstable matrix model showing, first, that the WKB approximation of the well-defined quantum Fokker-Planck hamiltonian corresponds to the semiclassical eigenvalue density of the former. The double scaled potential exhibits an instanton--like behaviour, which is universal and scales, but whose interpretation in terms of pure gravity is still open.

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J. Luis Miramontes, Joaquin Sanchez Guillen. 1991-10-22. Instantons in the Quantum Framework of 2D Gravity. https://arxiv.org/abs/hep-th/9110051

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