CDT Quantum Toroidal Spacetimes: An Overview
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CDT Quantum Toroidal Spacetimes : An Overview. / Ambjorn, Jan; Drogosz, Zbigniew; Gizbert-Studnicki, Jakub; Gorlich, Andrzej; Jurkiewicz, Jerzy; Nemeth, Daniel.
In: Universe, Vol. 7, No. 4, 79, 26.03.2021.Research output: Contribution to journal › Review › Research › peer-review
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TY - JOUR
T1 - CDT Quantum Toroidal Spacetimes
T2 - An Overview
AU - Ambjorn, Jan
AU - Drogosz, Zbigniew
AU - Gizbert-Studnicki, Jakub
AU - Gorlich, Andrzej
AU - Jurkiewicz, Jerzy
AU - Nemeth, Daniel
PY - 2021/3/26
Y1 - 2021/3/26
N2 - 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.
AB - 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.
KW - quantum gravity
KW - lattice quantum field theory
KW - dynamical triangulations
KW - emergent spacetime
KW - FRACTAL STRUCTURE
KW - BABY UNIVERSES
KW - GRAVITY
KW - TRIANGULATIONS
KW - 2D
U2 - 10.3390/universe7040079
DO - 10.3390/universe7040079
M3 - Review
VL - 7
JO - Universe
JF - Universe
SN - 2218-1997
IS - 4
M1 - 79
ER -
ID: 262794977