Four-dimensional CDT with toroidal topology

Nuclear Physics B. 2017;922(C):226-246 DOI 10.1016/j.nuclphysb.2017.06.026

 

Journal Homepage

Journal Title: Nuclear Physics B

ISSN: 0550-3213 (Print); 1873-1562 (Online)

Publisher: Elsevier

LCC Subject Category: Science: Physics: Nuclear and particle physics. Atomic energy. Radioactivity

Country of publisher: Netherlands

Language of fulltext: English

Full-text formats available: PDF, HTML

 

AUTHORS

J. Ambjørn (The Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, DK-2100 Copenhagen, Denmark)
J. Gizbert-Studnicki (The M. Smoluchowski Institute of Physics, Jagiellonian University, Łojasiewicza 11, Kraków, PL 30-348, Poland)
A. Görlich (The Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, DK-2100 Copenhagen, Denmark)
K. Grosvenor (The Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, DK-2100 Copenhagen, Denmark)
J. Jurkiewicz (The M. Smoluchowski Institute of Physics, Jagiellonian University, Łojasiewicza 11, Kraków, PL 30-348, Poland)

EDITORIAL INFORMATION

Peer review

Editorial Board

Instructions for authors

Time From Submission to Publication: 12 weeks

 

Abstract | Full Text

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.