scholarly journals Scalar fields in causal dynamical triangulations

2021 ◽  
Author(s):  
Jan Ambjorn ◽  
Zbigniew Drogosz ◽  
Jakub Gizbert-Studnicki ◽  
Andrzej Görlich ◽  
Jerzy Jurkiewicz ◽  
...  
Keyword(s):  
Scalar Fields ◽  
Causal Dynamical Triangulations ◽  
Dynamical Triangulations

scholarly journals The spectral dimension in 2D CDT gravity coupled to scalar fields

2015 ◽  
Vol 30 (13) ◽  
pp. 1550077 ◽  
Author(s):  
J. Ambjørn ◽  
A. Görlich ◽  
J. Jurkiewicz ◽  
H. Zhang
Keyword(s):  
Scalar Field ◽  
Scalar Fields ◽  
Spectral Dimension ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Two Dimensional ◽  
Imaginary Time ◽  
Causal Dynamical Triangulations ◽  
Pure Gravity ◽  
Dynamical Triangulations

Causal Dynamical Triangulations (CDT) provide a non-perturbative formulation of Quantum Gravity assuming the existence of a global time foliation. In our earlier study we analyzed the effect of including d copies of a massless scalar field in the two-dimensional CDT model with imaginary time. For d > 1 we observed the formation of a "blob", somewhat similar to that observed in four-dimensional CDT without matter. In the two-dimensional case the "blob" has a Hausdorff dimension DH = 3. In this paper, we study the spectral dimension DS of the two-dimensional CDT-universe, both for d = 0 (pure gravity) and d = 4. We show that in both cases the spectral dimension is consistent with DS = 2.

scholarly journals CDT Quantum Toroidal Spacetimes: An Overview

Universe ◽  
2021 ◽  
Vol 7 (4) ◽  
pp. 79
Author(s):  
Jan Ambjorn ◽  
Zbigniew Drogosz ◽  
Jakub Gizbert-Studnicki ◽  
Andrzej Görlich ◽  
Jerzy Jurkiewicz ◽  
...  
Keyword(s):  
Lattice Theory ◽  
Continuum Limit ◽  
Fractal Structure ◽  
Scalar Fields ◽  
Massless Scalar ◽  
Quantum Geometry ◽  
Special Boundary ◽  
Dramatic Effect ◽  
Causal Dynamical Triangulations ◽  
Dynamical Triangulations

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.

scholarly journals Impact of topology in causal dynamical triangulations quantum gravity

2016 ◽  
Vol 94 (4) ◽  
Author(s):  
J. Ambjørn ◽  
Z. Drogosz ◽  
J. Gizbert-Studnicki ◽  
A. Görlich ◽  
J. Jurkiewicz ◽  
...  
Keyword(s):  
Quantum Gravity ◽  
Causal Dynamical Triangulations ◽  
Dynamical Triangulations

scholarly journals New higher-order transition in causal dynamical triangulations

2017 ◽  
Vol 95 (12) ◽  
Author(s):  
J. Ambjorn ◽  
D. Coumbe ◽  
J. Gizbert-Studnicki ◽  
A. Görlich ◽  
J. Jurkiewicz
Keyword(s):  
Higher Order ◽  
Order Transition ◽  
Causal Dynamical Triangulations ◽  
Dynamical Triangulations

scholarly journals The transfer matrix in four dimensional causal dynamical triangulations

2013 ◽  
Author(s):  
J. Ambjo̸rn ◽  
J. Gizbert-Studnicki ◽  
A. T. Görlich ◽  
J. Jurkiewicz ◽  
R. Loll
Keyword(s):  
Transfer Matrix ◽  
Causal Dynamical Triangulations ◽  
Dynamical Triangulations

scholarly journals The semiclassical limit of causal dynamical triangulations

2011 ◽  
Vol 849 (1) ◽  
pp. 144-165 ◽  
Author(s):  
J. Ambjørn ◽  
A. Görlich ◽  
J. Jurkiewicz ◽  
R. Loll ◽  
J. Gizbert-Studnicki ◽  
...  
Keyword(s):  
Semiclassical Limit ◽  
Causal Dynamical Triangulations ◽  
Dynamical Triangulations
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