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Topology Changes by Quantum Tunneling in Four Dimensions

Ding Shuxue·Yasushige Maeda·Masaru Siino
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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.

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Ding Shuxue, Yasushige Maeda, Masaru Siino. 1994-09-05. Topology Changes by Quantum Tunneling in Four Dimensions. https://doi.org/10.1016/0370-2693(95)00621-q

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