Quick Search:
Prog. Theor. Phys. Vol. 96 No. 4 (1996) pp. 863-868
Letters
A Toy Model of Quantum Gravity with a Quantized Cosmological Constant
Kazuo Fujikawa
Department of Physics, University of Tokyo, Tokyo 113
(Received July 19, 1996)
Abstract:
The path integral for the hydrogen atom, for example, is formulated as a one-dimensional quantum gravity coupled to matter fields representing the electron coordinates. The (renormalized) cosmological constant, which corresponds to the energy eigenvalue, is thus quantized in this model. Possible implications of the quantized cosmological constant are briefly discussed.
URL :
http://ptp.ipap.jp/link?PTP/96/863/
DOI : 10.1143/PTP.96.863
References:
-
S. Weinberg, Rev. Mod. Phys. 61 (1989), 1 [APS]and references therein.
-
K. Fujikawa, hep-th/9602080[e-print arXiv].
- A. M. Polyakov, Phys. Lett. 103B (1981), 207.
-
K. Fujikawa, Phys. Rev. D25 (1982), 2584[APS].
- O. Alvarez, Nucl. Phys. B216 (1983), 125.
- K. Fujikawa, Nucl. Phys. B226 (1983), 437.
- J. Wess and B. Zumino, Phys. Lett. 37B (1971), 95.
-
K. Fujikawa, Phys. Rev. Lett. 42 (1979), 1195[APS]; 44 (1980), 1733;
Phys. Rev. D21 (1980), 2848[APS].
- I. H. Duru and H. Kleinert, Phys. Lett. B84 (1979), 185.
H. Kleinert, Phys. Lett. A120 (1987), 361.
- F. Ravndal and T. Toyoda, Nucl. Phys. B3 (1967), 312.
-
B. DeWitt, Phys. Rev. 160 (1967), 1113[APS].
J. A. Wheeler, in Battelle Rencontres 1968, ed. C. DeWitt and J. A. Wheeler (Benjamin, New York).
- S. W. Hawking, Phys. Lett. B134 (1984), 403.
- S. Coleman, Nucl. Phys. B310 (1988), 643.
-
J. J. Halliwell, Phys. Rev. D38 (1988), 2468[APS].
J. D. Brown and J. W. York, Jr., Phys. Rev. D40 (1989), 3312[APS].
M. Seriu, Prog. Theor. Phys. 87 (1992), 269[PTP].
