Exploring the new phase transition of CDT - INSPIRE

DataBETA

Exploring the new phase transition of CDT

D.N. Coumbe
(
- Bohr Inst.
)
,
J. Gizbert-Studnicki
(
- Jagiellonian U.
)
,
J. Jurkiewicz
(
- Jagiellonian U.
)

Oct 29, 2015

10 pages

Published in:

JHEP 02 (2016) 144

Published: Feb 22, 2016

e-Print:

1510.08672 [hep-th]

DOI:

10.1007/JHEP02(2016)144

View in:

ADS Abstract Service

reference search29 citations

Citations per year

Abstract: (arXiv)

This work focuses on the newly discovered bifurcation phase transition of CDT quantum gravity. We define various order parameters and investigate which is most suitable to study this transition in numerical simulations. By analyzing the behaviour of the order parameters we present evidence that the transition separating the bifurcation phase and the physical phase of CDT is likely a second or higher-order transition, a result that may have important implications for the continuum limit of CDT.

Note:

11 pages, 8 figures

Models of Quantum Gravity
Lattice Models of Gravity
critical phenomena
bifurcation
continuum limit
quantum gravity
triangulation

References(17)

Figures(25)

[1]

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

[2]

Spectral dimension of the universe

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

- Phys.Rev.Lett. 95 (2005) 171301
•
e-Print:
- hep-th/0505113
•
DOI:
- 10.1103/PhysRevLett.95.171301

[3]

Fractal spacetime structure in asymptotically safe gravity

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

- JHEP 10 (2005) 050
•
e-Print:
- hep-th/0508202
•
DOI:
- 10.1088/1126-6708/2005/10/050

[4]

Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point

Petr Horava
(
- UC, Berkeley and
- LBL, Berkeley
)

- Phys.Rev.Lett. 102 (2009) 161301
•
e-Print:
- 0902.3657
•
DOI:
- 10.1103/PhysRevLett.102.161301

[5]

Fractal Structure of Loop Quantum Gravity

Leonardo Modesto
(
- Perimeter Inst. Theor. Phys.
)

- Class.Quant.Grav. 26 (2009) 242002
•
e-Print:
- 0812.2214
•
DOI:
- 10.1088/0264-9381/26/24/242002

[6]

The Hagedorn Transition and the Number of Degrees of Freedom of String Theory

- Nucl.Phys.B 310 (1988) 291-334
•
DOI:
- 10.1016/0550-3213(88)90151-4

[7]

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

[8]

Phase structure of four-dimensional simplicial quantum gravity

S. Catterall
(
- CERN
)
,
John B. Kogut
(
- Illinois U., Urbana
)
,
R. Renken
(
- Central Florida U.
)

- Phys.Lett.B 328 (1994) 277-283
•
e-Print:
- hep-lat/9401026
•
DOI:
- 10.1016/0370-2693(94)91480-X

[9]

Focusing on the fixed point of 4-D simplicial gravity

- Nucl.Phys.B 472 (1996) 293-308
•
e-Print:
- hep-lat/9601024
•
DOI:
- 10.1016/0550-3213(96)00214-3

[10]

Further evidence that the transition of 4-D dynamical triangulation is first order

Bas V. de Bakker
(
- Amsterdam, CHEAF
)

- Phys.Lett.B 389 (1996) 238-242
•
e-Print:
- hep-lat/9603024
•
DOI:
- 10.1016/S0370-2693(96)01277-4

[11]

Exploring Euclidean Dynamical Triangulations with a Non-trivial Measure Term

Daniel Coumbe
(
- Glasgow U. and
- Jagiellonian U.
)
,
John Laiho
(
- Glasgow U. and
- Syracuse U.
)

- JHEP 04 (2015) 028
•
e-Print:
- 1401.3299
•
DOI:
- 10.1007/JHEP04(2015)028

[12]

Euclidian 4d quantum gravity with a non-trivial measure term

J. Ambjorn
(
- Bohr Inst. and
- Nijmegen U., IMAPP
)
,
L. Glaser
(
- Bohr Inst.
)
,
A. Goerlich
(
- Jagiellonian U. and
- Bohr Inst.
)
,
J. Jurkiewicz
(
- Jagiellonian U.
)

- JHEP 10 (2013) 100
•
e-Print:
- 1307.2270
•
DOI:
- 10.1007/JHEP10(2013)100

[13]

GENERAL RELATIVITY WITHOUT COORDINATES

T. Regge
(
- Princeton U.
)

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

[14]

A Second-order phase transition in CDT

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

[15]

Second- and First-Order Phase Transitions in CDT

Jan Ambjorn
(
- Bohr Inst.
)
,
S. Jordan
(
- Utrecht U.
)
,
J. Jurkiewicz
(
- Jagiellonian U.
)
,
R. Loll
(
- Utrecht U. and
- Perimeter Inst. Theor. Phys.
)

- Phys.Rev.D 85 (2012) 124044
•
e-Print:
- 1205.1229
•
DOI:
- 10.1103/PhysRevD.85.124044

[16]

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.
)

- JHEP 08 (2015) 033,
- JHEP 08 (2015) 033
•
e-Print:
- 1503.08580
•
DOI:
- 10.1007/JHEP08(2015)033

[17]

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