Next Article in Journal
AGB Stars and Their Circumstellar Envelopes. I. the VULCAN Code
Next Article in Special Issue
The de Broglie–Bohm Quantum Theory and Its Application to Quantum Cosmology
Previous Article in Journal
Spectral Geometry of Black Holes in 4D Gauged Supergravity
Previous Article in Special Issue
Hunting for Gravitational Quantum Spikes

CDT Quantum Toroidal Spacetimes: An Overview

The Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark
Institute for Mathematics, Astrophysics and Particle Physics (IMAPP), Radboud University Nijmegen, Heyendaalseweg 135, 6525 AJ Nijmegen, The Netherlands
Institute of Theoretical Physics, Jagiellonian University, Łojasiewicza 11, PL 30-348 Kraków, Poland
Author to whom correspondence should be addressed.
Academic Editor: Włodzimierz Piechocki
Universe 2021, 7(4), 79;
Received: 28 February 2021 / Revised: 19 March 2021 / Accepted: 21 March 2021 / Published: 26 March 2021
(This article belongs to the Special Issue Gravitational Singularities and Their Quantum Fates)
Lattice formulations of gravity can be used to study non-perturbative aspects of quantum gravity. Causal Dynamical Triangulations (CDT) is a lattice model of gravity that has been used in this way. It has a built-in time foliation but is coordinate-independent in the spatial directions. The higher-order phase transitions observed in the model may be used to define a continuum limit of the lattice theory. Some aspects of the transitions are better studied when the topology of space is toroidal rather than spherical. In addition, a toroidal spatial topology allows us to understand more easily the nature of typical quantum fluctuations of the geometry. In particular, this topology makes it possible to use massless scalar fields that are solutions to Laplace’s equation with special boundary conditions as coordinates that capture the fractal structure of the quantum geometry. When such scalar fields are included as dynamical fields in the path integral, they can have a dramatic effect on the geometry. View Full-Text
Keywords: quantum gravity; lattice quantum field theory; dynamical triangulations; emergent spacetime quantum gravity; lattice quantum field theory; dynamical triangulations; emergent spacetime
Show Figures

Figure 1

MDPI and ACS Style

Ambjorn, J.; Drogosz, Z.; Gizbert-Studnicki, J.; Görlich, A.; Jurkiewicz, J.; Németh, D. CDT Quantum Toroidal Spacetimes: An Overview. Universe 2021, 7, 79.

AMA Style

Ambjorn J, Drogosz Z, Gizbert-Studnicki J, Görlich A, Jurkiewicz J, Németh D. CDT Quantum Toroidal Spacetimes: An Overview. Universe. 2021; 7(4):79.

Chicago/Turabian Style

Ambjorn, Jan, Zbigniew Drogosz, Jakub Gizbert-Studnicki, Andrzej Görlich, Jerzy Jurkiewicz, and Dániel Németh. 2021. "CDT Quantum Toroidal Spacetimes: An Overview" Universe 7, no. 4: 79.

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Back to TopTop