Four-dimensional CDT with toroidal topology

作者:Ambjorn J; Gizbert Studnicki J*; Gorlich A; Grosvenor K; Jurkiewicz J
来源:Nuclear Physics B, 2017, 922: 226-246.
DOI:10.1016/j.nuclphysb.2017.06.026

摘要

3 + 1dimensional 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.

  • 出版日期2017-9