Stabilization of 2D Quantum Gravity by branching interactions

TL;DR

This paper explores how branching interactions can stabilize 2D quantum gravity models, revealing new nonperturbative effects that persist in the continuum limit, despite similarities to unbounded matrix models.

Contribution

It introduces a stabilized 2D quantum gravity model with branching interactions that retains key nonperturbative effects in the continuum limit.

Findings

Perturbative expansion matches pure gravity matrix models

First nonperturbative term is identical to unbounded matrix models

New nonperturbative effects survive in the continuum limit

Abstract

In this paper the stabilization of 2D quantum Gravity by branching interactions is considered. The perturbative expansion and the first nonperturbative term of the stabilized model are the same than the unbounded matrix model which define pure Gravity, but it has new nonperturbative effects that survives in the continuum limit.