Integrable 2D Lorentzian gravity and random walks

  title={Integrable 2D Lorentzian gravity and random walks},
  author={Philippe Di Francesco and Emmanuel Guitter and Charlotte Kristjansen},
  journal={Nuclear Physics},

Dynamically Triangulating Lorentzian Quantum Gravity

Locally causal dynamical triangulations in two dimensions

We analyze the universal properties of a new two-dimensional quantum gravity model defined in terms of locally causal dynamical triangulations. Measuring the Hausdorff and spectral dimensions of the

Simplicial Euclidean and Lorentzian Quantum Gravity

One can try to define the theory of quantum gravity as the sum over geometries. In two dimensions the sum over {\it Euclidean} geometries can be performed constructively by the method of {\it

Heaps of Segments and Lorentzian Quantum Gravity

This work is a combinatorial study of quantum gravity models related to Lorentzian quantum gravity. These models are discrete combinatorial objects called dynamical triangulations. They are related

(2+1)-dimensional quantum gravity as the continuum limit of Causal Dynamical Triangulations

We perform a non-perturbative sum over geometries in a (2+1)-dimensional quantum gravity model given in terms of Causal Dynamical Triangulations. Inspired by the concept of triangulations of product

Crossing the c=1 barrier in 2d Lorentzian quantum gravity

Analysis of a system of eight Ising models coupled to dynamically triangulated Lorentzian geometries provides evidence for the conjecture that the KPZ values of the critical exponents in 2d Euclidean quantum gravity are entirely due to the presence of baby universes.

Lorentzian and Euclidean Quantum Gravity - Analytical and Numerical Results

We review some recent attempts to extract information about the nature of quantum gravity, with and without matter, by quantum field theoretical methods. More specifically, we work within a covariant

Two-Dimensional Lorentzian Models

The goal of this paper is to present rigorous mathematical formulations and results for Lorentzian models, introduced in physical papers. Lorentzian models represent two dimensional models, where

A discrete history of the Lorentzian path integral

In these lecture notes, I describe the motivation behind a recent formulation of a non-perturbative gravitational path integral for Lorentzian (instead of the usual Euclidean) space-times, and give a