Dynamical Triangulation with Fluctuating Topology

TL;DR

This paper introduces a dynamical triangulation model for Euclidean quantum gravity that allows topology fluctuations, using tensor generalizations of matrix models, and presents initial simulation results in four dimensions.

Contribution

It develops a tensor-based generalization of matrix models enabling Monte Carlo simulations of quantum gravity with fluctuating topology.

Findings

Preliminary results for four-dimensional case.

A set of moves for Monte Carlo simulation.

Extension of matrix models to tensor models.

Abstract

We consider a dynamical triangulation model of euclidean quantum gravity where the topology is not fixed. This model is equivalent to a tensor generalization of the matrix model of two dimensional quantum gravity. A set of moves is given that allows Monte Carlo simulation of this model. Some preliminary results are presented for the case of four dimensions.