Abstract
The internal time formalism provides a relatively conservative approach to canonical quantum gravity in that one attempts to retain in the Dirac quantization of the theory both general covariance and the conventional apparatus of quantum field theory. The idea is to extract dynamical variables representing many-fingered time from the phase space of general relativity and then use them as one uses such variables in the quantization of parametrized field theories. I give a general, albeit brief, presentation of this strategy and illustrate it with a few examples.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
B. DeWitt, Phys. Rev. 160, 1113 (1967).
K. V. KuchaÅ™, in General Relativity and Relativistic Astrophysics, Proceedings of The Fourth Canadian Conference on General Relativity and Relativistic Astrophysics, Winnipeg, Canada, 1991, edited by G. Kunstatter, D. Vincent, and J. Williams (World Scientific, Singapore, 1992).
K. V. Kuchař, in Conceptual Problems of Quantum Gravity, edited by À. Ashtekar and J. Stachel (Birkhauser, Boston, 1991).
A. Ashtekar, Lectures on Non-Perturbative Canonical Gravity. (World Scientific, Singapore, 1991).
P. Dirac. Lectures on Quantum Mechanics, (Yeshiva University, New York. 1964).
P. Dirac, Proc. R. Soc. London A246, 333 (1958).
R. Arnowitt, S. Deser, and C. Misner in Gravitation: An Introduction to Current Research, edited by L. Witten (Wiley, New York, 1962).
K. V. KuchaÅ™, J. Math. Phys. 13, 768 (1972).
K. V. KuchaÅ™ in Highlights in Gravitation and Cosmology, eds B. Iyer et al, (Cambridge University Press, Cambridge, 1988).
J. Isenberg and J. Marsden, Phys. Rep. 89, 179 (1982).
C. G. Torre, Phys. Rev. D 46, R3231 (1992).
A. Fischer, J. Marsden, and V. Moncrief, Ann. Inst. H. Poincaré 33, 147 (1980).
T. Regge and C. Teitelboim, Ann. Phys. 88, 286 (1974).
K. V. KuchaÅ™, Phys. Rev D 4, 955 (1971).
D. Neville, Class. Quantum Grav. 10, 2223 (1993).
K. V. KuchaÅ™, Phys. Rev D 50, 3961 (1994).
K. V. KuchaÅ™ and C. G. Torre, J. Math. Phys 30, 1769 (1989).
K. V. KuchaÅ™ and C. G. Torre, in Conceptual Problems of Quantum Gravity. edited by A. Ashtekar and J. Stachel (Birkhauser, Boston. 1991).
C. G. Torre, Phys. Rev. D 40, 2588 (1989).
J. D. Romano and C. G. Torre, Phys. Rev. D 53, 5634 (1996).
K. V. KuchaÅ™, Phys. Rev. D 39, 2263 (1989).
M. Varadarajan and C. G. Torre, in preparation.
D. Korotkin and H. Nicolai, preprint hep-th/9605144, (1996).
B. Berger, Ann. Phys. 156, 155 (1984).
Joseph Romano, private communication.
D. Boulware and S. Deser, J. Math. Phys. 8, 1468 (1967).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Torre, C.G. (1997). The Internal Time Formalism in Canonical Gravity. In: Dhurandhar, S., Padmanabhan, T. (eds) Gravitation and Cosmology. Astrophysics and Space Science Library, vol 211. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5812-1_8
Download citation
DOI: https://doi.org/10.1007/978-94-011-5812-1_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6455-2
Online ISBN: 978-94-011-5812-1
eBook Packages: Springer Book Archive