Induced Gravity in Higher Dimensional Space-time and the Mass Scale of the {Kaluza-Klein} Theory

Naka, Shigefumi; Itoi, Chigaku

doi:10.1143/PTP.70.1414

Induced Gravity in Higher Dimensional Space-time and the Mass Scale of the {Kaluza-Klein} Theory

Shigefumi Naka
(
- Nihon U., Tokyo
)
,
Chigaku Itoi
(
- Nihon U., Tokyo
)

Jul, 1983

20 pages

Published in:

Prog.Theor.Phys. 70 (1983) 1414

DOI:

10.1143/PTP.70.1414

Report number:

NUP-A-83-7

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Abstract: (Oxford Journals)

The Kaluza-Klein theory is known as an interesting approach to the unified of gauge fields and the gravitational field based on a higher-dimensional spacetime geometry. In such a theory, however, the mass scale arising from the excitation of the extra space is restricted to the order of Planck mass. In the present paper, we investigate the Kaluza-Klein theory from the viewpoint of the induced gravity ; that is, the theory of gravity defined as a quantum fluctuation of fundamental matter fields. We show that the problem of the Planck mass can be overcome by considering the cutoff of ultraviolet divergence out of the extra dimensional space.

Kaluza-Klein model
GRAVITATION
RENORMALIZATION: REGULARIZATION
FIELD THEORY: FIVE-DIMENSIONAL
FIELD THEORY: DIMENSIONAL REDUCTION
PERTURBATION THEORY
FIELD THEORY: EFFECTIVE ACTION
MASS SPECTRUM

References(19)

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Quantum Theory and Five-Dimensional Theory of Relativity. (In German and English)

Oskar Klein
(
- Copenhagen U.
)

- Z.Phys. 37 (1926) 895-906,
- Surveys High Energ.Phys. 5 (1986) 241-244,
- Reprinted in *Erice 1982, Proceedings, Unified Field Theories In More Than 4 Dimensions*, 434-446, and in *Ekspong, G. (ed.): The Oskar Klein memorial lectures, vol. 1* 67-80, and in *Chalk River 1983, Proceedings, An Introduction To Kaluza-Klein Theories*, 10-23,
- See also *Appelquist, T. (ed.) et al.: Modern Kaluza-Klein theories* 76-87, and *De Sabbata, V. (ed.) et al.: Unified Field Theories of more than four dimensions including exact solutions* 434-446,
•
DOI:
- 10.1007/BF01397481

- Helv.Phys.Acta Suppl. 4 58

Higher - Dimensional Unifications of Gravitation and Gauge Theories

Y.M. Cho
(
- Chicago U., EFI and
- Chicago U.
)

- J.Math.Phys. 16 (1975) 2029
•
DOI:
- 10.1063/1.522434

Unified Geometry of Internal Space with Space-Time

Y.M. Cho
(
- Chicago U., EFI and
- Chicago U.
)
,
Pong Soo Jang
(
- Chicago U.
)

- Phys.Rev.D 12 (1975) 3789
•
DOI:
- 10.1103/PhysRevD.12.3789

Geometrical Approach to Local Gauge Invariance: Local Gauge Theories and Supersymmetric Strings

- Phys.Rev.D 13 (1976) 235
•
DOI:
- 10.1103/PhysRevD.13.235

Extended Particle Model of Leptons and Quarks and Generalized Kaluza's Unified Field Theory

Sho Tanaka
(
- Kyoto U.
)

- Prog.Theor.Phys.Suppl. 67 (1979) 282
•
DOI:
- 10.1143/PTPS.67.282

On Kaluza-Klein Theory

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

- Annals Phys. 141 (1982) 316-352,
- Also in *Appelquist, T. (ed.) et al.: Modern Kaluza-Klein theories* 163-199,
- Also in *Salam, A. (ed.), Sezgin, E. (ed.): Supergravities in diverse dimensions, vol. 2* 1330-1366,
- Also in *Ali, A. (ed.) et al.: Selected papers of Abdus Salam* 451-487
•
DOI:
- 10.1016/0003-4916(82)90291-3

Aspects of Seven-dimensional Relativity

W. Mecklenburg
(
- ICTP, Trieste
)

- Phys.Rev.D 21 (1980) 2149
•
DOI:
- 10.1103/PhysRevD.21.2149

High Dimensional Formulation of a Spinning Particle Interacting With External Gauge Fields

Shigefumi Naka
(
- Nihon U., Tokyo
)
,
Seiji Kojima
(
- Nihon U., Tokyo
)

- Prog.Theor.Phys. 65 (1981) 1732
•
DOI:
- 10.1143/PTP.65.1732

Spontaneous Dimensional Reduction in Generalized Kaluza's High Dimensional Theory

S. Tanaka
(
- Kyoto U.
)

- Prog.Theor.Phys. 66 (1981) 1477-1493,
- Kyoto Univ.(81,rec.may) 31p,
- Prog. Theor. Phys. 66 ( 1981) 1477-1493 and Kyoto Univ. - KUNS-583 (81,REC.MAY) 31p
•
DOI:
- 10.1143/PTP.66.1477