The transfer matrix in four-dimensional CDT
High Energy Physics - Theory
2016-02-10 v1 General Relativity and Quantum Cosmology
High Energy Physics - Lattice
Abstract
The Causal Dynamical Triangulation model of quantum gravity (CDT) has a transfer matrix, relating spatial geometries at adjacent (discrete lattice) times. The transfer matrix uniquely determines the theory. We show that the measurements of the scale factor of the (CDT) universe are well described by an effective transfer matrix where the matrix elements are labeled only by the scale factor. Using computer simulations we determine the effective transfer matrix elements and show how they relate to an effective minisuperspace action at all scales.
Keywords
Cite
@article{arxiv.1205.3791,
title = {The transfer matrix in four-dimensional CDT},
author = {Jan Ambjorn and Jakub Gizbert-Studnicki and Andrzej Görlich and Jerzy Jurkiewicz},
journal= {arXiv preprint arXiv:1205.3791},
year = {2016}
}
Comments
32 pages, 19 figures