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Quantum gravity as sum over spacetimes

Jan Ambjorn
(
- Bohr Inst. and
- Jagiellonian U. and
- Utrecht U.
)
,
Jerzy Jurkiewicz
(
- Bohr Inst. and
- Jagiellonian U. and
- Utrecht U.
)
,
Renate Loll
(
- Bohr Inst. and
- Jagiellonian U. and
- Utrecht U.
)

Jun, 2009

67 pages

Part of New paths towards quantum gravity

Published in:

Lect.Notes Phys. 807 (2010) 59-124

Contribution to:

Summer School on New Paths Towards Quantum Gravity

e-Print:

0906.3947 [gr-qc]

DOI:

10.1007/978-3-642-11897-5_2

View in:

ADS Abstract Service

reference search69 citations

Citations per year

Abstract: (arXiv)

A major unsolved problem in theoretical physics is to reconcile the classical theory of general relativity with quantum mechanics. These lectures will deal with an attempt to describe quantum gravity as a path integral over geometries known as "Causal Dynamical Triangulations" (CDT).

Note:

references added, typos corrected. 67 pages, lectures given at the summer school "New Paths Towards Quantum Gravity", May 12-16 2008. To appear as part of a Springer Lecture Notes in Physics publication: "Quantum Gravity - New Paths Towards Unification"

lectures
quantum gravity: nonperturbative
general relativity
path integral: space-time
lattice field theory
simplex
dimension: 2
dimension: 4
fluctuation: quantum
numerical calculations: Monte Carlo

References(64)

Figures(25)

Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation

Alessandro Codello
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,
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(
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)
,
Christoph Rahmede
(
- SISSA, Trieste and
- INFN, Trieste
)

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Functional Renormalization Group Equations, Asymptotic Safety, and Quantum Einstein Gravity

Martin Reuter
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The Asymptotic Safety Scenario in Quantum Gravity

Max Niedermaier
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)

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)

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)

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Petr Horava
(
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)

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Mikhail E. Shaposhnikov
(
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)
,
Igor I. Tkachev
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Reconstructing the universe

J. Ambjorn
(
- Bohr Inst. and
- Utrecht U.
)
,
J. Jurkiewicz
(
- Jagiellonian U.
)
,
R. Loll
(
- Utrecht U.
)

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Nonperturbative Lorentzian quantum gravity, causality and topology change

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(
- Bohr Inst.
)
,
R. Loll
(
- Potsdam, Max Planck Inst.
)

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•
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Emergence of a 4-D world from causal quantum gravity

J. Ambjorn
(
- Bohr Inst. and
- Utrecht U.
)
,
J. Jurkiewicz
(
- Jagiellonian U.
)
,
R. Loll
(
- Utrecht U.
)

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•
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•
DOI:
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Semiclassical universe from first principles

J. Ambjorn
(
- Bohr Inst. and
- Utrecht U.
)
,
J. Jurkiewicz
(
- Jagiellonian U.
)
,
R. Loll
(
- Utrecht U.
)

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e-Print:
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•
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Planckian Birth of the Quantum de Sitter Universe

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•
e-Print:
- 0712.2485
•
DOI:
- 10.1103/PhysRevLett.100.091304

The Nonperturbative Quantum de Sitter Universe

J. Ambjorn
(
- Bohr Inst. and
- Utrecht U.
)
,
A. Gorlich
(
- Jagiellonian U.
)
,
J. Jurkiewicz
(
- Jagiellonian U.
)
,
R. Loll
(
- Utrecht U.
)

- Phys.Rev.D 78 (2008) 063544
•
e-Print:
- 0807.4481
•
DOI:
- 10.1103/PhysRevD.78.063544

The Universe from scratch

J. Ambjorn
(
- Bohr Inst. and
- Utrecht U.
)
,
J. Jurkiewicz
(
- Jagiellonian U.
)
,
R. Loll
(
- Utrecht U.
)

- Contemp.Phys. 47 (2006) 103-117
•
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•
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The Emergence of spacetime or quantum gravity on your desktop

R. Loll
(
- Utrecht U.
)

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•
e-Print:
- 0711.0273
•
DOI:
- 10.1088/0264-9381/25/11/114006

The quantum universe

J. Ambjorn
(
- Copenhagen U. and
- Utrecht U.
)
,
A. Gorlich
(
- Jagiellonian U.
)
,
J. Jurkiewicz
(
- Jagiellonian U.
)
,
R. Loll
(
- Utrecht U.
)

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Claudio Teitelboim
(
- Texas U. and
- INFN, Turin
)

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Claudio Teitelboim
(
- Texas U. and
- INFN, Turin
)

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Putting a cap on causality violations in CDT

J. Ambjorn
(
- Bohr Inst. and
- Utrecht U.
)
,
R. Loll
(
- Utrecht U.
)
,
W. Westra
(
- Iceland U.
)
,
S. Zohren
(
- Imperial Coll., London
)

- JHEP 12 (2007) 017
•
e-Print:
- 0709.2784
•
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