Singular vertices in the strong coupling phase of four-dimensional simplicial gravity - INSPIRE

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Singular vertices in the strong coupling phase of four-dimensional simplicial gravity

Tomohiro Hotta
(
- Tokyo U.
)
,
Taku Izubuchi
(
- Tokyo U.
)
,
Jun Nishimura
(
- Tokyo U. and
- KEK, Tsukuba
)

1995

8 pages

Published in:

Prog.Theor.Phys. 94 (1995) 263-270

e-Print:

hep-lat/9709073 [hep-lat]

DOI:

10.1143/PTP.94.263

Report number:

KEK-TH-439

View in:

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Abstract:

We study four-dimensional simplicial gravity through numerical simulation with special attention to the existence of singular vertices, in the strong coupling phase, that are shared by abnormally large numbers of four-simplices. We attempt to cure this disease by adding a term to the action which suppresses such singular vertices. For a sufficiently large coefficient of the additional term, however, the phase transition disappears and the system is observed to be always in the branched polymer phase for any gravitational constant.

Note:

11 pages, 7 Postscript figures Report-no: KEK-TH-439 Journal-ref: Prog. Theor. Phys. 94 (1995) 263-270

gravitation
dimension: 4
critical phenomena: strong coupling
strong coupling: critical phenomena
vertex function
effective action
numerical calculations

References(23)

Figures(0)

Planar Diagrams

- Commun.Math.Phys. 59 (1978) 35
•
DOI:
- 10.1007/BF01614153

Planar Diagrams, Two-Dimensional Lattice Gravity and Surface Models

F. David
(
- Saclay
)

- Nucl.Phys.B 257 (1985) 45,
•
DOI:
- 10.1016/0550-3213(85)90335-9

Bilocal Regularization of Models of Random Surfaces

V.A. Kazakov
(
- Moscow, ITEP
)

- Phys.Lett.B 150 (1985) 282-284,
- Also in *Brezin, E. (ed.), Wadia, S.R. (ed.): The large N expansion in quantum field theory and statistical physics* 659-661
•
DOI:
- 10.1016/0370-2693(85)91011-1

Analytical and Numerical Study of the Model of Dynamically Triangulated Random Surfaces

- Nucl.Phys.B 275 (1986) 641,
- Moscow Inst. Cosmic Res. Acad. Sci. - PR-1123 (86,REC.SEP.) 75p
•
DOI:
- 10.1016/0550-3213(86)90578-X

Diseases of Triangulated Random Surface Models, and Possible Cures

Jan Ambjorn
(
- Nordita
)
,
B. Durhuus
(
- Copenhagen U.
)
,
J. Frohlich
(
- Princeton, Inst. Advanced Study
)

- Nucl.Phys.B 257 (1985) 433-449
•
DOI:
- 10.1016/0550-3213(85)90356-6

Conformal Field Theories Coupled to 2D Gravity in the Conformal Gauge

F. David
(
- Saclay, SPhT
)

- Mod.Phys.Lett.A 3 (1988) 1651
•
DOI:
- 10.1142/S0217732388001975

- Nucl.Phys.B 321 504

Quantum gravity and random surfaces

H. Kawai
(
- Tokyo U.
)

- Nucl.Phys.B Proc.Suppl. 26 (1992) 93-110,
- In *Tsukuba 1991, Proceedings, Lattice '91* 93-110
•
DOI:
- 10.1016/0920-5632(92)90231-G

Four-dimensional simplicial quantum gravity

Jan Ambjorn
(
- Bohr Inst.
)
,
Jerzy Jurkiewicz
(
- Bohr Inst.
)

- Phys.Lett.B 278 (1992) 42-50
•
DOI:
- 10.1016/0370-2693(92)90709-D

Simulations of four-dimensional simplicial quantum gravity

M.E. Agishtein
(
- Princeton U.
)
,
Alexander A. Migdal
(
- Princeton U.
)

- Mod.Phys.Lett.A 7 (1992) 1039-1062
•
DOI:
- 10.1142/S0217732392000938

Critical behavior of dynamically triangulated quantum gravity in four-dimensions

M.E. Agishtein
(
- Princeton U.
)
,
Alexander A. Migdal
(
- Princeton U.
)

- Nucl.Phys.B 385 (1992) 395-412
•
e-Print:
- hep-lat/9204004
•
DOI:
- 10.1016/0550-3213(92)90106-L

Four-dimensional quantum gravity by dynamical triangulations

Steen Varsted
(
- UC, San Diego
)

- Nucl.Phys.B 412 (1994) 406-414
•
DOI:
- 10.1016/0550-3213(94)90509-6

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

Path Integrals and the Indefiniteness of the Gravitational Action

G.W. Gibbons
(
- Munich, Max Planck Inst. and
- Cambridge U.
)
,
S.W. Hawking
(
- Cambridge U.
)
,
M.J. Perry
(
- Cambridge U.
)

- Nucl.Phys.B 138 (1978) 141-150
•
DOI:
- 10.1016/0550-3213(78)90161-X

Elementary moves and ergodicity in D-dimensional simplicial quantum gravity

Mark Gross
(
- Bohr Inst.
)
,
Steen Varsted
(
- Bohr Inst.
)

- Nucl.Phys.B 378 (1992) 367-380
•
DOI:
- 10.1016/0550-3213(92)90012-Z

Simulations of dynamically triangulated gravity: An Algorithm for arbitrary dimension

S. Catterall
(
- CERN
)

- Comput.Phys.Commun. 87 (1995) 409-415
•
e-Print:
- hep-lat/9405026
•
DOI:
- 10.1016/0010-4655(94)00117-K

The Vacuum in three-dimensional simplicial quantum gravity

- Phys.Lett.B 276 (1992) 432-436
•
DOI:
- 10.1016/0370-2693(92)91663-T

Three-dimensional simplicial quantum gravity

Jan Ambjorn
(
- Bohr Inst.
)
,
Steen Varsted
(
- Bohr Inst.
)

- Nucl.Phys.B 373 (1992) 557-577
•
DOI:
- 10.1016/0550-3213(92)90444-G

Scaling in four-dimensional quantum gravity

Jan Ambjorn
(
- Bohr Inst.
)
,
J. Jurkiewicz
(
- Bohr Inst.
)

- Nucl.Phys.B 451 (1995) 643-676
•
e-Print:
- hep-th/9503006
•
DOI:
- 10.1016/0550-3213(95)00303-A

Two point functions in 4-D dynamical triangulation

Bas V. de Bakker
(
- Amsterdam U.
)
,
Jan Smit
(
- Amsterdam U.
)

- Nucl.Phys.B 454 (1995) 343-356
•
e-Print:
- hep-lat/9503004
•
DOI:
- 10.1016/0550-3213(95)00381-2

Quantum gravity, dynamical triangulations and higher derivative regularization

Jan Ambjorn
(
- Bohr Inst.
)
,
Jerzy Jurkiewicz
(
- Jagiellonian U.
)
,
Charlotte F. Kristjansen
(
- Bohr Inst.
)

- Nucl.Phys.B 393 (1993) 601-632
•
e-Print:
- hep-th/9208032
•
DOI:
- 10.1016/0550-3213(93)90075-Z

Nonuniform measure in four-dimensional simplicial quantum gravity

Bernd Bruegmann
(
- Syracuse U.
)

- Phys.Rev.D 47 (1993) 3330-3338
•
e-Print:
- hep-lat/9210001
•
DOI:
- 10.1103/PhysRevD.47.3330

4-d simplicial quantum gravity with a nontrivial measure

Bernd Bruegmann
(
- Syracuse U.
)
,
Enzo Marinari
(
- Syracuse U. and
- Rome U., Tor Vergata and
- INFN, Rome
)

- Phys.Rev.Lett. 70 (1993) 1908-1911
•
e-Print:
- hep-lat/9210002
•
DOI:
- 10.1103/PhysRevLett.70.1908