- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Reduced canonical quantization of the induced two-dimensional gravity

José Navarro-Salas, Miguel Navarro, C. F. Talavera, and Víctor Aldaya

  • Departamento de Física Teórica, Burjassot-46100, Valencia, Spain
  • Instituto de Física Corpuscular, Centro Mixto Universidad de Valencia-Consejo Superior de Investigaciones Científicas, Burjassot-46100, Valencia, Spain
  • The Blackett Laboratory, Imperial College, London SW7 2BZ, United Kingdom
  • Instituto Carlos I de Física Teórica y Computacional, Facultad de Ciencias, Universidad de Granada, Campus de Fuentenueva, 18002, Granada, Spain

PDF

Phys. Rev. D 50, 901 – Published 15 July, 1994

DOI: https://doi.org/10.1103/PhysRevD.50.901

Abstract

The quantization of the induced two-dimensional gravity on a compact spatial section is carried out in three different ways. In the three approaches the supermomentum constraint is solved at the classical level but they differ in the way the Hamiltonian constraint is imposed. We compare these approaches establishing an isomorphism between the resulting Hilbert spaces.

View figure in article

References (14)

  1. R. Jackiw, in Quantum Theory of Gravity, edited by S. Christensen (Hilger, Bristol, 1984), p. 403.
  2. C. Teitelboim, in Quantum Theory of Gravity, edited by S. Christensen (Hilger, Bristol, 1984), p. 327.
  3. A. M. Polyakov, Phys. Lett. 163B, 207 (1981); Mod. Phys. Lett. A 2, 899 (1987).
  4. J. Navarro-Salas, M. Navarro and V. Aldaya, Nucl. Phys. B403, 291 (1993).
  5. C. Crnkovic and E. Witten, in Three Hundred Years of Gravitation, edited by S. W. Hawking and W. Israel (Cambridge University Press, Cambridge, England, 1987), p. 676.
  6. E. Witten, Nucl. Phys. B311, 46 (1988).
  7. K. Gawedzki, Commun. Math. Phys. 139, 201 (1991).
  8. J. Navarro-Salas, M. Navarro and V. Aldaya, Phys. Lett. B287, 109 (1992).
  9. A. Mikovic, Imperial College Preprint No. TP/92-93/15.
  10. T. Banks and M. O'Loughlin, Nucl. Phys. B362, 649 (1991).
  11. C. G. Torre, Phys. Rev. D 40, 2588 (1989).
  12. C. J. Isham, in Recent Advances in Quantum Fields, Proceedings of the 30th Schladming Winter School, Schladming, Austria, 1991, edited by H. Mitter and H. Gausterer (Springer, Berlin, 1991).
  13. R. Abraham and J. Marsden, Foundations of Mechanics (Benjamin, New York, 1978); V. Aldaya and J. A. de Azcarraga, Riv. Nuovo Cimento 3, 10 (1980).
  14. J. R. Klauder and E. Aslaken, Phys. Rev. D 2, 393 (1970). C. J. Isham, in Relativity, Groups and Topology II, Proceedings of the Les Houches Summer School, Les Houches, France, 1983, edited by B. DeWitt and R. Stora, Les Houches Summer School Proceedings Vol. 40 (North-Holland, Amsterdam, 1984).

Outline

Information

Phys. Rev. D 50, 901– Published 15 July, 1994
  • Received 10 February 1994

© 1994 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation