A Lorentzian Analysis of the Cosmological Constant Problem - INSPIRE

DataBETA

A Lorentzian Analysis of the Cosmological Constant Problem

Andrew Strominger
(
- UC, Santa Barbara
)

Dec 8, 1988

11 pages

Published in:

Nucl.Phys.B 319 (1989) 722-732

Published: 1989

DOI:

10.1016/0550-3213(89)90626-3

View in:

AMS MathSciNet

reference search40 citations

Citations per year

Abstract: (Elsevier)

We argue that the essential features of the Baum-Coleman-Hawking mechanism for setting the cosmological constant to zero are (a) the existence of variable cosmological constant, and (b) the boundary value data for the wave function of the universe are supplied at small three-geometries. In particular topology change, baby universe, or other details of Planck-scale physics are not essential. We analyze the problem by solving the Wheeler-DeWitt equation for a large single universe with variable Λ using the (real time) WKB approximation. It is argued that the only sensible questions in this context are joint probabilities for the cosmological constant and the scale factor a (or other suitable observable) of an expanding universe. The most probable values of Λ in this model are found to be highly peaked around 9M p 2 16a 2 , in minor disagreement with previous authors, but consistent with the experimental bounds in our universe.

COSMOLOGICAL CONSTANT
FIELD EQUATIONS: WHEELER-DEWITT
APPROXIMATION: WKB approximation
ASTROPHYSICS: WAVE FUNCTION
POSTULATED PARTICLE: AXION
BOUNDARY CONDITION

References(31)

Figures(0)

The Cosmological Constant Is Probably Zero

S.W. Hawking
(
- Cambridge U.
)

- Phys.Lett.B 134 (1984) 403,
- Shelter Island II 1983:0217
•
DOI:
- 10.1016/0370-2693(84)91370-4

Zero Cosmological Constant from Minimum Action

E. Baum
(
- UC, Berkeley
)

- Phys.Lett.B 133 (1983) 185-186
•
DOI:
- 10.1016/0370-2693(83)90556-7

Dynamics of Dimensional Reduction

Peter G.O. Freund
(
- Chicago U., EFI
)
,
Mark A. Rubin
(
- Chicago U., EFI
)

- Phys.Lett.B 97 (1980) 233-235,
- IN *APPELQUIST, T. (ED.) ET AL.: MODERN KALUZA-KLEIN THEORIES*, 210-212. (Phys. Lett. B97 (1980) 233-235) AND CHICAGO UNIV. - EFI 80-035 (80,REC.NOV.) 7 P. (SEE BOOK INDEX),
•
DOI:
- 10.1016/0370-2693(80)90590-0

THE COSMOLOGICAL CONSTANT AS A CANONICAL VARIABLE

M. Henneaux
(
- Texas U.
)
,
C. Teitelboim
(
- Texas U.
)

- Phys.Lett.B 143 (1984) 415-420
•
DOI:
- 10.1016/0370-2693(84)91493-X

- Nucl.Phys.B 307 864

Loss of incoherence and determination of coupling constants in quantum gravity

Steven B. Giddings
(
- Harvard U.
)
,
Andrew Strominger
(
- UC, Santa Barbara
)

- Nucl.Phys.B 307 (1988) 854-866,
- Nucl.Phys.B 307 (1988) 854-866
•
DOI:
- 10.1016/0550-3213(88)90109-5

Vacuum Topology and Incoherence in Quantum Gravity

Andrew Strominger
(
- Princeton, Inst. Advanced Study
)

- Phys.Rev.Lett. 52 (1984) 1733
•
DOI:
- 10.1103/PhysRevLett.52.1733

Quantum Coherence Down the Wormhole

S.W. Hawking
(
- Cambridge U.
)

- Phys.Lett.B 195 (1987) 337,
- Moscow Quantum Grav.1987:0125
•
DOI:
- 10.1016/0370-2693(87)90028-1

Wormholes in Space-Time

S.W. Hawking
(
- Cambridge U.
)

- Phys.Rev.D 37 (1988) 904-910,
- IN *BUDAPEST 1987, PROCEEDINGS, RELATIVITY TODAY* 149-166.,
•
DOI:
- 10.1103/PhysRevD.37.904

Disruption of Quantum Coherence upon a Change in Spatial Topology in Quantum Gravity

George V. Lavrelashvili
(
- Moscow, INR
)
,
V.A. Rubakov
(
- Moscow, INR
)
,
P.G. Tinyakov
(
- Moscow, INR
)

- JETP Lett. 46 (1987) 167-169,
- Pisma Zh.Eksp.Teor.Fiz. 46 (1987) 134-136

Particle Creation and Destruction of Quantum Coherence by Topological Change

George V. Lavrelashvili
(
- Moscow, INR
)
,
V.A. Rubakov
(
- Moscow, INR
)
,
P.G. Tinyakov
(
- Moscow, INR
)

- Nucl.Phys.B 299 (1988) 757-796
•
DOI:
- 10.1016/0550-3213(88)90372-0

Axion Induced Topology Change in Quantum Gravity and String Theory

Steven B. Giddings
(
- Princeton U. and
- Harvard U.
)
,
Andrew Strominger
(
- UC, Santa Barbara
)

- Nucl.Phys.B 306 (1988) 890-907
•
DOI:
- 10.1016/0550-3213(88)90446-4

Why There Is Nothing Rather Than Something: A Theory of the Cosmological Constant

Sidney R. Coleman
(
- Harvard U.
)

- Nucl.Phys.B 310 (1988) 643-668
•
DOI:
- 10.1016/0550-3213(88)90097-1

Quantum Cosmology and the Initial State of the Universe

Alexander Vilenkin
(
- Tufts U.
)

- Phys.Rev.D 37 (1988) 888
•
DOI:
- 10.1103/PhysRevD.37.888

T C P, Quantum Gravity, the Cosmological Constant and All That...

Tom Banks
(
- SLAC and
- Princeton, Inst. Advanced Study
)

- Nucl.Phys.B 249 (1985) 332-360
•
DOI:
- 10.1016/0550-3213(85)90020-3

Quantum Cosmology in (2+1)-dimensions and (3+1)-dimensions

Tom Banks
(
- SLAC
)
,
W. Fischler
(
- Texas U.
)
,
Leonard Susskind
(
- Stanford U., Phys. Dept.
)

- Nucl.Phys.B 262 (1985) 159-186
•
DOI:
- 10.1016/0550-3213(85)90070-7

The Origin of Structure in the Universe

J.J. Halliwell
(
- Cambridge U. and
- Munich, Max Planck Inst.
)
,
S.W. Hawking
(
- Cambridge U. and
- Munich, Max Planck Inst.
)

- Phys.Rev.D 31 (1985) 1777,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 277-291
•
DOI:
- 10.1103/PhysRevD.31.1777

Operator Ordering and the Flatness of the Universe

S.W. Hawking
(
- Cambridge U.
)
,
Don N. Page
(
- Penn State U.
)

- Nucl.Phys.B 264 (1986) 185-196,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 315-326
•
DOI:
- 10.1016/0550-3213(86)90478-5

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

Creation of Universes from Nothing

Alexander Vilenkin
(
- Tufts U.
)

- Phys.Lett.B 117 (1982) 25-28
•
DOI:
- 10.1016/0370-2693(82)90866-8

The Birth of Inflationary Universes

Alexander Vilenkin
(
- Tufts U.
)

- Phys.Rev.D 27 (1983) 2848
•
DOI:
- 10.1103/PhysRevD.27.2848

The Cosmological Constant Problem

Steven Weinberg
(
- Texas U.
)

- Rev.Mod.Phys. 61 (1989) 1-23,
•
DOI:
- 10.1103/RevModPhys.61.1

New Axionic Instantons in Quantum Gravity

Robert C. Myers
(
- UC, Santa Barbara
)

- Phys.Rev.D 38 (1988) 1327
•
DOI:
- 10.1103/PhysRevD.38.1327

On the Third Quantization and the Cosmological Constant

V.A. Rubakov
(
- DESY and
- Moscow, INR
)

- Phys.Lett.B 214 (1988) 503-507
•
DOI:
- 10.1016/0370-2693(88)90108-6

Prolegomena to a Theory of Bifurcating Universes: A Nonlocal Solution to the Cosmological Constant Problem Or Little Lambda Goes Back to the Future

Tom Banks
(
- UC, Santa Cruz
)

- Nucl.Phys.B 309 (1988) 493-512
•
DOI:
- 10.1016/0550-3213(88)90455-5

1-25 of 31
1
2
25 / page