Quantum cosmological multidimensional Einstein Yang-Mills model in a R x S**3 x S**d topology

Bertolami, O.; Fonseca, P.D.; Moniz, P.V.

doi:10.1103/PhysRevD.56.4530

Quantum cosmological multidimensional Einstein Yang-Mills model in a R x S3 x Sd topology

Jun, 1996

22 pages

Published in:

Phys.Rev.D 56 (1997) 4530-4543

e-Print:

gr-qc/9607015 [gr-qc]

DOI:

10.1103/PhysRevD.56.4530

Report number:

DAMTP-R-96-25A,
DF-IST-3-96,
DM-IST-13-96

View in:

pdf

reference search14 citations

Citations per year

Abstract: (arXiv)

The quantum cosmological version of the multidimensional Einstein-Yang-Mills model in a

R \times S^3 \times S^d

topology is studied in the framework of the Hartle-Hawking proposal. In contrast to previous work in the literature, we consider Yang-Mills field configurations with non-vanishing time-dependent components in both

S^3

and

S^d

spaces. We obtain stable compactifying solutions that do correspond to extrema of the Hartle-Hawking wave function of the Universe. Subsequently, we also show that the regions where 4-dimensional metric behaves classically or quantum mechanically (i.e. regions where the metric is Lorentzian or Euclidean) will depend on the number,

d

, of compact space dimensions.

04.50.+h
04.40.Nr
98.80.Cq
general relativity
gauge field theory: Yang-Mills
space-time: R x S(3) x S(N)
any-dimensional
quantization
effective action
Wheeler-DeWitt equation

References(24)

Figures(0)

Spontaneous Compactification in Six-Dimensional Einstein-Maxwell Theory

S. Randjbar-Daemi
(
- ICTP, Trieste
)
,
Abdus Salam
(
- ICTP, Trieste and
- Imperial Coll., London
)
,
J.A. Strathdee
(
- ICTP, Trieste
)

- Nucl.Phys.B 214 (1983) 491-512,
- Also in *Appelquist, T. (ed.) et al.: Modern Kaluza-Klein Theories*, 542-563,
- Also in *Salam, A. (ed.), Sezgin, E. (ed.): Supergravities in diverse dimensions, vol. 2* 1385-1406,
- Also in *Ali, A. (ed.) et al.: Selected papers of Abdus Salam* 488-509
•
DOI:
- 10.1016/0550-3213(83)90247-X

Quantum Effects in Kaluza-Klein Theories

Thomas Appelquist
(
- Yale U.
)
,
Alan Chodos
(
- Yale U.
)

- Phys.Rev.Lett. 50 (1983) 141
•
DOI:
- 10.1103/PhysRevLett.50.141

Calculation of Gauge Couplings and Compact Circumferences from Selfconsistent Dimensional Reduction

Philip Candelas
(
- Texas U.
)
,
Steven Weinberg
(
- Texas U.
)

- Nucl.Phys.B 237 (1984) 397,
- IN *APPELQUIST, T. (ED.) ET AL.: MODERN KALUZA-KLEIN THEORIES*, 375-419. (NUCL. PHYS. B237 (1984) 397) AND TEXAS UNIV. AUSTIN - UTTG-83-06 (83,REC.JUN.) 31 P. TEXAS UNIV. AUSTIN - UTTG-83-06A (83,REC.JUL.) 6 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0550-3213(84)90001-4

Dynamics of Compactification in Einstein {Yang-Mills} Theories

Yu.A. Kubyshin
(
- Lebedev Inst. and
- Moscow State U.
)
,
V.A. Rubakov
(
- Lebedev Inst. and
- Moscow State U.
)
,
I.I. Tkachev
(
- Lebedev Inst. and
- Moscow State U.
)

- Int.J.Mod.Phys.A 4 (1989) 1409-1425
•
DOI:
- 10.1142/S0217751X89000595

Stability of compactification in Einstein Yang-Mills theories after inflation

O. Bertolami
(
- Lisbon, IFM
)
,
Yu.A. Kubyshin
(
- Moscow State U.
)
,
J.M. Mourao
(
- Lisbon, IFM and
- Lisbon, IST
)

- Phys.Rev.D 45 (1992) 3405-3414
•
DOI:
- 10.1103/PhysRevD.45.3405

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

The Quantum State of the Universe

S.W. Hawking
(
- Cambridge U.
)

- Nucl.Phys.B 239 (1984) 257,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 236-255
•
DOI:
- 10.1016/0550-3213(84)90093-2

The Ground state wave function of a radiation dominated universe

O. Bertolami
(
- Lisbon, IFM
)
,
J.M. Mourao
(
- Lisbon, IFM and
- Lisbon, IST
)

- Class.Quant.Grav. 8 (1991) 1271-1282
•
DOI:
- 10.1088/0264-9381/8/7/005

Decoherence of Friedmann-Robertson-Walker geometries in the presence of massive vector fields with U(1) or SO(3) global symmetries

O. Bertolami
(
- CERN
)
,
P.V. Moniz
(
- Cambridge U.
)

- Nucl.Phys.B 439 (1995) 259-290
•
e-Print:
- gr-qc/9410027
•
DOI:
- 10.1016/0550-3213(95)00049-X

Supersymmetric quantum cosmology: Shaken not stirred

P.V. Moniz
(
- Cambridge U.
)

- Int.J.Mod.Phys.A 11 (1996) 4321-4382
•
e-Print:
- gr-qc/9604025
•
DOI:
- 10.1142/S0217751X96002017

Scale factor duality: A Quantum cosmological approach

M.C. Bento
(
- CERN
)
,
O. Bertolami
(
- INFN, Turin
)

- Class.Quant.Grav. 12 (1995) 1919-1926
•
e-Print:
- gr-qc/9412002
•
DOI:
- 10.1088/0264-9381/12/8/009

The Quantum Cosmology of Einstein-maxwell Theory in Six-dimensions

J.J. Halliwell
(
- Cambridge U.
)

- Nucl.Phys.B 266 (1986) 228-244
•
DOI:
- 10.1016/0550-3213(86)90182-3

A Quantum Cosmological Approach to {Kaluza-Klein} Theory and the Boundary Condition of 'No Boundary'

U. Carow-Watamura
(
- Geneva U.
)
,
T. Inami
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
S. Watamura
(
- CERN
)

- Class.Quant.Grav. 4 (1987) 23
•
DOI:
- 10.1088/0264-9381/4/1/006

Dynamics of euclidenized Einstein Yang-Mills systems with arbitrary gauge groups

O. Bertolami
(
- Lisbon, IFM
)
,
J.M. Mourao
(
- Lisbon, IFM and
- LIP, Lisbon
)
,
R.F. Picken
(
- Lisbon, IFM and
- LIP, Lisbon
)
,
I.P. Volobuev
(
- Moscow State U.
)

- Int.J.Mod.Phys.A 6 (1991) 4149-4180
•
DOI:
- 10.1142/S0217751X91002045

On the cosmology of massive vector fields with SO(3) global symmetry

M.C. Bento
(
- Lisbon, IST and
- Lisbon, IFM
)
,
O. Bertolami
(
- Lisbon, IST and
- Lisbon, IFM
)
,
P.V. Moniz
(
- Lisbon, IFM and
- Lisbon U.
)
,
J.M. Mourao
(
- Lisbon, IST and
- Lisbon, IFM
)
,
P.M. Sa
(
- Lisbon, IFM
)

- Class.Quant.Grav. 10 (1993) 285-298
•
e-Print:
- gr-qc/9302034
•
DOI:
- 10.1088/0264-9381/10/2/010

Homogeneous and isotropic closed cosmologies with a gauge sector

P.V. Moniz
(
- Lisbon U.
)
,
J.M. Mourao
(
- Lisbon, IFM
)

- Class.Quant.Grav. 8 (1991) 1815-1832
•
DOI:
- 10.1088/0264-9381/8/10/008

Multidimensional cosmology with m component perfect fluid

- Int.J.Mod.Phys.D 3 (1994) 795-812
•
e-Print:
- gr-qc/9403064
•
DOI:
- 10.1142/S0218271894000897

Mass bounds for multidimensional charged dilatonic black holes

- Phys.Lett.B 332 (1994) 292-296
•
e-Print:
- gr-qc/9405018
•
DOI:
- 10.1016/0370-2693(94)91256-4

Multidimensional classical and quantum wormholes in models with cosmological constant

U. Bleyer
(
- Potsdam, Astrophys. Inst.
)
,
V.D. Ivashchuk
(
- Potsdam, Astrophys. Inst.
)
,
V.N. Melnikov
(
- Potsdam, Astrophys. Inst.
)
,
A. Zhuk
(
- Potsdam, Astrophys. Inst. and
- Freie U., Berlin
)

- Nucl.Phys.B 429 (1994) 177-204,
- Nucl. Phys. B429 (1994) 177-204. and Potsdam Univ. - AIP-94-06 (94,rec.May) 40 p
•
e-Print:
- gr-qc/9405020
•
DOI:
- 10.1016/S0550-3213(94)80046-4

Billiard representation for multidimensional cosmology with multicomponent perfect fluid near the singularity

- Class.Quant.Grav. 12 (1995) 809-826
•
e-Print:
- gr-qc/9407028
•
DOI:
- 10.1088/0264-9381/12/3/017

Multidimensional integrable vacuum cosmology with two curvatures

- Class.Quant.Grav. 13 (1996) 3039-3056
•
e-Print:
- gr-qc/9602063
•
DOI:
- 10.1088/0264-9381/13/11/018

Spontaneous Compactification of Extra Space Dimensions

- Nucl.Phys.B 118 (1977) 61-75
•
DOI:
- 10.1016/0550-3213(77)90363-7

Space-Time Geometry and Symmetry Breaking

J.F. Luciani
(
- Ecole Normale Superieure
)

- Nucl.Phys.B 135 (1978) 111,
- IN *APPELQUIST, T. (ED.) ET AL.: MODERN KALUZA-KLEIN THEORIES*, 143-162. (NUCL. PHYS. B135 (1978) 111-130) AND PARIS EC. NORM. SUP. - LPTENS 77-09 (77,REC.MAY) 30 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0550-3213(78)90216-X

The Interpretation of the Wave Function of the Universe

Alexander Vilenkin
(
- Tufts U.
)

- Phys.Rev.D 39 (1989) 1116
•
DOI:
- 10.1103/PhysRevD.39.1116