Simulating CDT quantum gravity
High Energy Physics - Theory
2023-10-26 v1 General Relativity and Quantum Cosmology
High Energy Physics - Lattice
Abstract
We provide a hands-on introduction to Monte Carlo simulations in nonperturbative lattice quantum gravity, formulated in terms of Causal Dynamical Triangulations (CDT). We describe explicitly the implementation of Monte Carlo moves and the associated detailed-balance equations in two and three spacetime dimensions. We discuss how to optimize data storage and retrieval, which are nontrivial due to the dynamical nature of the lattices, and how to reconstruct the full geometry from selected stored data. Various aspects of the simulation, including tuning, thermalization and the measurement of observables are also treated. An associated open-source C++ implementation code is freely available online.
Cite
@article{arxiv.2310.16744,
title = {Simulating CDT quantum gravity},
author = {Joren Brunekreef and Andrzej Görlich and Renate Loll},
journal= {arXiv preprint arXiv:2310.16744},
year = {2023}
}