Signature Change of the Metric in CDT Quantum Gravity? - INSPIRE

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Signature Change of the Metric in CDT Quantum Gravity?

Jan Ambjørn
(
- Bohr Inst. and
- Nijmegen U., IMAPP
)
,
Daniel N. Coumbe
(
- Jagiellonian U.
)
,
Jakub Gizbert-Studnicki
(
- Jagiellonian U.
)
,
Jerzy Jurkiewicz
(
- Jagiellonian U. and
- Bohr Inst.
)

Mar 30, 2015

16 pages

Published in:

JHEP 08 (2015) 033,
JHEP 08 (2015) 033

Published: Aug 7, 2015

e-Print:

1503.08580 [hep-th]

DOI:

10.1007/JHEP08(2015)033

View in:

reference search43 citations

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Abstract: (Springer)

We study the effective transfer matrix within the semiclassical and bifurcation phases of CDT quantum gravity. We find that for sufficiently large lattice volumes the kinetic term of the effective transfer matrix has a different sign in each of the two phases. We argue that this sign change can be viewed as a Wick rotation of the metric. We discuss the likely microscopic mechanism responsible for the bifurcation phase transition, and propose an order parameter that can potentially be used to determine the precise location and order of the transition. Using the effective transfer matrix we approximately locate the position of the bifurcation transition in some region of coupling constant space, allowing us to present an updated version of the CDT phase diagram.

Note:

16 pages, 9 figures

Models of Quantum Gravity
Lattice Models of Gravity
transfer matrix
bifurcation
critical phenomena
quantum gravity
coupling constant
semiclassical
signature
lattice

References(27)

Figures(13)

[1]

Introduction to the effective field theory description of gravity

John F. Donoghue

[2]

Gerard ’t Hooft and M.J.G. Veltman. One loop divergencies in the theory of gravitation

- Ann.Inst.H.Poincare Phys.Theor.A 20 (1974) 69-94

[3]

The Ultraviolet Behavior of Einstein Gravity

Marc H. Goroff
(
- Caltech
)
,
Augusto Sagnotti
(
- UC, Berkeley and
- LBL, Berkeley
)

- Nucl.Phys.B 266 (1986) 709-736
•
DOI:
- 10.1016/0550-3213(86)90193-8

[4]

John Donoghue. Perturbative dynamics of quantum general relativity. pages 26- 39

[5]

Steven Weinberg. General Relativity, an Einstein Centenary Survey

[6]

Renormalization group flow of quantum gravity in the Einstein-Hilbert truncation

- Phys.Rev.D 65 (2002) 065016
•
e-Print:
- hep-th/0110054
•
DOI:
- 10.1103/PhysRevD.65.065016

[7]

Ultraviolet fixed point and generalized flow equation of quantum gravity

O. Lauscher
(
- Mainz U., Inst. Phys.
)
,
M. Reuter
(
- Mainz U., Inst. Phys.
)

- Phys.Rev.D 65 (2002) 025013
•
e-Print:
- hep-th/0108040
•
DOI:
- 10.1103/PhysRevD.65.025013

[8]

Fixed points of quantum gravity

Daniel F. Litim
(
- CERN and
- Southampton U.
)

- Phys.Rev.Lett. 92 (2004) 201301
•
e-Print:
- hep-th/0312114
•
DOI:
- 10.1103/PhysRevLett.92.201301

[9]

Ultraviolet properties of f(R)-gravity

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

- Int.J.Mod.Phys.A 23 (2008) 143-150
•
e-Print:
- 0705.1769
•
DOI:
- 10.1142/S0217751X08038135

[10]

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

Alessandro Codello
(
- Mainz U., Inst. Phys.
)
,
Roberto Percacci
(
- Utrecht U. and
- SISSA, Trieste and
- INFN, Trieste
)
,
Christoph Rahmede
(
- SISSA, Trieste and
- INFN, Trieste
)

- Annals Phys. 324 (2009) 414-469
•
e-Print:
- 0805.2909
•
DOI:
- 10.1016/j.aop.2008.08.008

[11]

Asymptotic safety in higher-derivative gravity

Dario Benedetti
(
- Perimeter Inst. Theor. Phys.
)
,
Pedro F. Machado
(
- Utrecht U.
)
,
Frank Saueressig
(
- Saclay, SPhT
)

- Mod.Phys.Lett.A 24 (2009) 2233-2241
•
e-Print:
- 0901.2984
•
DOI:
- 10.1142/S0217732309031521

[12]

Reconstructing the universe

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

- Phys.Rev.D 72 (2005) 064014
•
e-Print:
- hep-th/0505154
•
DOI:
- 10.1103/PhysRevD.72.064014

[13]

Planckian Birth of the Quantum de Sitter Universe

- Phys.Rev.Lett. 100 (2008) 091304
•
e-Print:
- 0712.2485
•
DOI:
- 10.1103/PhysRevLett.100.091304

[14]

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

[15]

Quantum Gravity on the Lattice

Herbert W. Hamber
(
- UC, Irvine
)

- Gen.Rel.Grav. 41 (2009) 817-876
•
e-Print:
- 0901.0964
•
DOI:
- 10.1007/s10714-009-0769-y

[16]

Quantum geometry. A statistical field theory approach

B. Jan Ambjorn

[17]

A Second-order phase transition in CDT

- Phys.Rev.Lett. 107 (2011) 211303
•
e-Print:
- 1108.3932
•
DOI:
- 10.1103/PhysRevLett.107.211303

[18]

GENERAL RELATIVITY WITHOUT COORDINATES

T. Regge
(
- Princeton U.
)

- Nuovo Cim. 19 (1961) 558-571
•
DOI:
- 10.1007/BF02733251

[19]

The Transfer matrix in four-dimensional CDT

Jan Ambjorn
(
- Bohr Inst.
)
,
Jakub Gizbert-Studnicki
(
- Jagiellonian U.
)
,
Andrzej Gorlich
(
- Bohr Inst. and
- Jagiellonian U.
)
,
Jerzy Jurkiewicz
(
- Jagiellonian U.
)

- JHEP 09 (2012) 017
•
e-Print:
- 1205.3791
•
DOI:
- 10.1007/JHEP09(2012)017

[20]

The effective action in 4-dim CDT. The transfer matrix approach

Jan Ambjørn
(
- Bohr Inst. and
- Nijmegen U., IMAPP
)
,
Jakub Gizbert-Studnicki
(
- Jagiellonian U.
)
,
Andrzej Görlich
(
- Bohr Inst. and
- Jagiellonian U.
)
,
Jerzy Jurkiewicz
(
- Jagiellonian U.
)

- JHEP 06 (2014) 034
•
e-Print:
- 1403.5940
•
DOI:
- 10.1007/JHEP06(2014)034

[21]

Wave Function of the Universe

J.B. Hartle
(
- Chicago U., EFI and
- Santa Barbara, KITP
)
,
S.W. Hawking
(
- Cambridge U. and
- Santa Barbara, KITP
)

- Phys.Rev.D 28 (1983) 2960-2975,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 174-189
•
DOI:
- 10.1103/PhysRevD.28.2960

[22]

Hypothesis on the Nature of Time

D.N. Coumbe
(
- Jagiellonian U.
)

- Phys.Rev.D 91 (2015) 12, 124040
•
e-Print:
- 1502.04320
•
DOI:
- 10.1103/PhysRevD.91.124040

[23]

Scale-dependent homogeneity measures for causal dynamical triangulations

Joshua H. Cooperman
(
- Nijmegen U., IMAPP
)

- Phys.Rev.D 90 (2014) 12, 124053
•
e-Print:
- 1410.0632
•
DOI:
- 10.1103/PhysRevD.90.124053

[24]

The effective action in four-dimensional CDT (PhD thesis). Jagiellonian University

J. Gizbert-Studnicki

[25]

Anomaly-free scalar perturbations with holonomy corrections in loop quantum cosmology

Thomas Cailleteau
(
- LPSC, Grenoble
)
,
Jakub Mielczarek
(
- Jagiellonian U., Astron. Observ. and
- Warsaw, Inst. Nucl. Studies
)
,
Aurelien Barrau
(
- LPSC, Grenoble
)
,
Julien Grain
(
- Orsay, IAS
)

- Class.Quant.Grav. 29 (2012) 095010
•
e-Print:
- 1111.3535
•
DOI:
- 10.1088/0264-9381/29/9/095010

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