On the Universality of Nonperturbative effects in Stabilized 2D Quantum Gravity

TL;DR

This paper investigates the universal nature of nonperturbative effects and vacuum structures in stabilized matrix models that define pure 2D quantum gravity, revealing no tunneling between key solutions in the continuum limit.

Contribution

It demonstrates the universality of nonperturbative effects and clarifies the vacuum structure in stabilized matrix models for 2D quantum gravity, including the absence of tunneling between solutions.

Findings

Nonperturbative effects are universal in stabilized matrix models.

No tunneling occurs between one-arc and three-arc solutions in the continuum limit.

Vacuum structure is clarified in the context of 2D quantum gravity.

Abstract

In this letter I study the universality of the nonperturbative effects and the vacua structure of the stochastic stabilization of the matrix models which defines Pure 2D Quantum Gravity. I show also that there is not tunneling, in the continuum limit, between the one-arc and three-arc solutions of the simplest matrix model which defines the flow between Pure Gravity and the Lee-Yang model.