Renormalizability of General Relativity on a Background of Space-time Foam - INSPIRE

DataBETA

Renormalizability of General Relativity on a Background of Space-time Foam

L. Crane
(
- Chicago U., EFI and
- Yale U.
)
,
L. Smolin
(
- Chicago U., EFI and
- Yale U.
)

1986

44 pages

Published in:

Nucl.Phys.B 267 (1986) 714-757

Published: 1986

DOI:

10.1016/0550-3213(86)90139-2

View in:

AMS MathSciNet

reference search41 citations

Citations per year

Abstract: (Elsevier)

We show that a distribution of virtual black holes in the vacuum at shorter than Planck scales can have a profound effect on the perturbative high-energy behavior of a quantum field theory. This follows if we make the assumption that only perturbations which vanish inside the apparent horizons of virtual black holes can make a coherent contribution to scattering amplitudes. As a result there is a cutoff-dependent contribution to the density of states which comes from the scale dependence of the density of virtual black holes in the vacuum. This results in a modification in the divergence-structure of perturbation theory on a background of spacetime foam.

black hole
general relativity
FIELD THEORY: SPACE-TIME
FIELD THEORETICAL MODEL: RENORMALIZABLE
PERTURBATION THEORY
EXPANSION 1/N
POSTULATED PARTICLE: GRAVITON
EXPANSION: semiclassical
BIBLIOGRAPHY

References(61)

Figures(0)

[1]

A. Ashtekar
,
G.T. Horowitz

- J.Math.Phys. 25 (1984) 3342

[2]

Renormalization of a classical gravitational field interacting with quantized matter fields

- J.Math.Phys. 3 (1962) 608-618
•
DOI:
- 10.1063/1.1724264

[3]

Classical Gravity with Higher Derivatives

K. S. Stelle
(
- Brandeis U.
)

- Gen.Rel.Grav. 9 (1978) 353-371,
- Gen.Relativity Grav.9 (1978) 353-371 and Preprint - STELLE K S (77,REC.MAY) 34p
•
DOI:
- 10.1007/BF00760427

[4]

PhD. Thesis

J.C. Dell

[5]

in progress

J.C. Dell
,
L. Smolin

[6]

HIGH-ENERGY BEHAVIOR AND SECOND CLASS CONSTRAINTS IN QUANTUM GRAVITY

L. Smolin
(
- Chicago U., EFI
)

- Nucl.Phys.B 247 (1984) 511-532,
- Nucl. Phys. B247 ( 1984) 511-532
•
DOI:
- 10.1016/0550-3213(84)90561-3

[7]

Relativity groups and topology

B.S. DeWitt
,
C. DeWitt
,
J.A. Wheeler

[7]

Battelle Recontres

C. DeWitt
,
J.A. Wheeler
,
J.A. Wheeler

[7]

Gravitation

C.W. Misner
,
K.S. Thorne
,
J.A. Wheeler

[8]

S.W. Hawking

- Phys.Rev.D 13 (1976) 2460

[9]

Black hole explosions

S.W. Hawking
(
- Cambridge U.
)

- Nature 248 (1974) 30-31
•
DOI:
- 10.1038/248030a0

[9]

Particle Creation by Black Holes

S.W. Hawking
(
- Cambridge U., DAMTP and
- Caltech
)

- Commun.Math.Phys. 43 (1975) 199-220,
- Commun.Math.Phys. 46 (1976) 206 (erratum),
•
DOI:
- 10.1007/BF02345020

[10]

On Particle Creation by Black Holes

Robert M. Wald
(
- Chicago U., EFI
)

- Commun.Math.Phys. 45 (1975) 9-34
•
DOI:
- 10.1007/BF01609863

[11]

Space-Time Foam

S.W. Hawking
(
- Cambridge U.
)

- Nucl.Phys.B 144 (1978) 349-362
•
DOI:
- 10.1016/0550-3213(78)90375-9

[11]

General relativity

S.W. Hawking
,
W. Israel
,
S.W. Hawking

[11]

THE PROPAGATION OF PARTICLES IN SPACE-TIME FOAM

- Phys.Lett.B 86 (1979) 175-178
•
DOI:
- 10.1016/0370-2693(79)90812-8

[12]

A Fixed Point for Quantum Gravity

Lee Smolin
(
- Santa Barbara, KITP and
- Princeton, Inst. Advanced Study
)

- Nucl.Phys.B 208 (1982) 439-466
•
DOI:
- 10.1016/0550-3213(82)90230-9

[13]

General relativity

S.W. Hawking
,
W. Israel
,
S. Weinberg

[14]

Alexander
,
Orbach

- J.de Phys.Lettres 43 (1982) L625

[14]

Gefen
,
Meir
,
B.B. Mandelbrot
,
Aharony

- Phys.Rev.Lett. 50 (1983) 145

[14]

Domany
,
Alexander
,
Bensimon
,
L. Kadanoff

- Phys.Rev.B 28 (1983) 3110

[15]

EXISTENCE THEOREM FOR SOLUTIONS OF WITTEN'S EQUATION AND NONNEGATIVITY OF TOTAL MASS

O. Reula
(
- Chicago U., EFI
)

- J.Math.Phys. 23 (1982) 810-814,
- J. Math. Phys. 23 ( 1982) 810-814
•
DOI:
- 10.1063/1.525421

[15]

On Witten's Proof of the Positive Energy Theorem

Thomas Parker
(
- Harvard U.
)
,
Clifford Henry Taubes
(
- Harvard U.
)

- Commun.Math.Phys. 84 (1982) 223
•
DOI:
- 10.1007/BF01208569

[15]

Positive Mass Theorems for Black Holes

G.W. Gibbons
(
- Cambridge U.
)
,
S.W. Hawking
(
- Cambridge U.
)
,
Gary T. Horowitz
(
- Princeton, Inst. Advanced Study
)
,
Malcolm J. Perry
(
- Princeton U.
)

- Commun.Math.Phys. 88 (1983) 295
•
DOI:
- 10.1007/BF01213209

[16]

Niels Bohr and the development of physics

W. Pauli
,
L. Rosenfeld
,
V. Weisskopf
,
O. Klein

1-25 of 61
1
2
3
25 / page