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arXiv · 1705.07653

Four-dimensional CDT with toroidal topology

Jan Ambjørn·Jakub Gizbert-Studnicki·Andrzej Görlich·Kevin Grosvenor·Jerzy Jurkiewicz
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Abstract

3+1 dimensional Causal Dynamical Triangulations (CDT) describe a quantum theory of fluctuating geometries without the introduction of a background geometry. If the topology of space is constrained to be that of a three-dimensional torus we show that the system will fluctuate around a dynamically formed background geometry which can be understood from a simple minisuperspace action which contains both a classical part and a quantum part. We determine this action by integrating out degrees of freedom in the full model, as well as by transfer matrix methods.

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Jan Ambjørn, Jakub Gizbert-Studnicki, Andrzej Görlich, Kevin Grosvenor, Jerzy Jurkiewicz. 2017-05-22. Four-dimensional CDT with toroidal topology. https://doi.org/10.1016/j.nuclphysb.2017.06.026

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