Simplicial Quantum Gravity on a Computer
S. Bilke, Z. Burda, J. Jurkiewicz
TL;DR
This paper presents a Monte-Carlo simulation method for simplicial quantum gravity coupled with matter fields, emphasizing effective implementation of dynamical triangulation and auto-tuning parameters for systematic phase diagram exploration.
Contribution
It introduces an auto-tuning method for simulation parameters, facilitating systematic phase diagram analysis on parallel computing systems.
Findings
Effective implementation of dynamical triangulation
Auto-tuning parameters for canonical ensemble simulations
Systematic exploration of phase diagrams in 2D coupling space
Abstract
We describe a method of Monte-Carlo simulations of simplicial quantum gravity coupled to matter fields. We concentrate mainly on the problem of implementing effectively the random, dynamical triangulation and building in a detailed-balance condition into the elementary transformations of the triangulation. We propose a method of auto-tuning the parameters needed to balance simulations of the canonical ensemble. This method allows us to prepare a whole set of jobs and therefore is very useful in systematic determining the phase diagram in two dimensional coupling space. It is of particular importance when the jobs are run on a parallel machine.
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