Universality and Non-Perturbative Definitions of 2D Quantum Gravity from Matrix Models

Abstract

The universality of the non-perturbative definition of Hermitian one-matrix models following the quantum, stochastic, or $d=1$-like stabilization is discussed in comparison with other procedures. We also present another alternative definition, which illustrates the need of new physical input for $d=0$ matrix models to make contact with 2D quantum gravity at the non-perturbative level.

20 pages

References in corpus (1)

• Exact S-Matrix for 2D String Theory

Cited by in corpus (2)

• Non-perturbative 2d quantum gravity and hamiltonians unbounded from below
• Ground State of 2D Quantum Gravity and Spectral Density of Random Matrices