Topology Changes by Quantum Tunneling in Four Dimensions
General Relativity and Quantum Cosmology
2019-08-15 v1 High Energy Physics - Theory
Abstract
We investigate topology-changing processes in 4-dimensional quantum gravity with a negative cosmological constant. By playing the ``gluing-polytope game" in hyperbolic geometry, we explicitly construct an instanton-like solution without singularity. Because of cusps, this solution is non-compact but has a finite volume. Then we evaluate a topology change amplitude in the WKB approximation in terms of the volume of this solution.
Cite
@article{arxiv.gr-qc/9409006,
title = {Topology Changes by Quantum Tunneling in Four Dimensions},
author = {Ding Shuxue and Yasushige Maeda and Masaru Siino},
journal= {arXiv preprint arXiv:gr-qc/9409006},
year = {2019}
}
Comments
13 pages revtex.sty, 6 uuencoded figures contained, TIT/HEP-260/COSMO-45