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Abstract:

A common feature of reparametrization invariant theories is the difficulty involved in identifying an appropriate evolution parameter and in constructing a Hilbert space on states. Two well known examples of such theories are the relativistic point particle and the canonical formulation of quantum gravity. The strong analogy between them (specially for minisuperspace models) is considered in order to stress the correspondence between the "localization problem" and the "problem of time," respectively. A possible solution for the first problem was given by the proper time formulation of relativistic quantum mechanics. Thus, we extrapolate the main outlines of such a formalism to the quantum gravity framework. As a consequence, a proposal to solve the problem of time arises. © 1994 Plenum Publishing Corporation.

Registro:

Documento: Artículo
Título:The problem of time in parametrized theories
Autor:Gaioli, F.H.; Garcia-Alvarez, E.T.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
Instituto de Astronomía y Física del Espacio, Casilla de Correo 67, Sucursal 28, Buenos Aires, 1428, Argentina
Año:1994
Volumen:26
Número:12
Página de inicio:1267
Página de fin:1275
DOI: http://dx.doi.org/10.1007/BF02106718
Título revista:General Relativity and Gravitation
Título revista abreviado:Gen Relat Gravit
ISSN:00017701
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00017701_v26_n12_p1267_Gaioli

Referencias:

  • DeWitt, B.S., (1967) Phys. Rev., 160, p. 1113
  • Kálnay, A.J., (1971) Problems in the Foundations of Physics, , M., Bunge, Springer-Verlag, Berlin
  • Fock, V., (1937) Phys. Z. Sowjetunion, 12, p. 404
  • Aparicio, J. P., Gaioli, F. H., and Garcia-Alvarez, E. T. (1994). “Interpretation of the evolution parameter of the Feynman parametrization of the Dirac equation,” Preprint; (1992). “ Proper time formulation of relativistic quantum mechanics,” to appear in Anales AFA4; Horwitz, L.P., Piron, C., (1973) Helv. Phys. Acta, 46, p. 316
  • Sonego, S., (1991) Phys. Rev., 44 A, p. 5369
  • Cooke, J.H., (1968) Phys. Rev., 166, p. 1293
  • Johnson, J.E., (1969) Phys. Rev., 181, p. 1755
  • Henneaux, M., Teitelboim, C., (1982) Ann. Phys. (NY), 143, p. 127
  • Isham, C. (1992). “Canonical quantum gravity and the problem of time,” Imperial College preprint TP/91–92/25, gr-qc/9210011; KuchaŘ, K. V. (1992). In Proc. 4th Canadian Conference on General Relativity and Relativistic Astrophysics, G. Kunstatter, D. E. Vincent, J. G. Williams, eds. (World Scientific, Singapore); Halliwell, J.J., (1991) Proc. Jerusalem Winter School for Theoretical Physics: Quantum Cosmology and Baby Universe, vol. 7, , S., Coleman, J. B., Hartle, T., Piran, S., Weinberg, World Scientific, Singapore
  • Castagnino, M. A., Gaioli, F. H., and Garcia-Alvarez, E. T. (1994). “Parametrized quantum gravity,” in preparation; Enatsu, H., Relativistic Hamiltonian Formalism in Quantum Field Theory and Micro-Noncausality (1963) Progress of Theoretical Physics, 30, p. 236
  • Newton, T.D., Wigner, E.P., (1949) Rev. Mod. Phys., 21, p. 400
  • Roman, P., Leveille, J.P., Relativistic quantum mechanics and local gauge symmetry (1974) Journal of Mathematical Physics, 15, p. 2053
  • Wightman, A.S., Schweber, S.S., (1955) Phys. Rev., 98, p. 812
  • Stephens, C.R., (1988) Ann. Phys. (NY), 181, p. 120
  • DeWitt, B.S., (1967) Phys. Rev., 162, p. 1195
  • Hosoya, A., Morikawa, M., (1989) Phys. Rev., 39 D, p. 1123
  • Brown, J.D., York, J.W., Jr., (1989) Phys. Rev., 40 D, p. 3312
  • Unruh, W.G., Wald, R.M., (1989) Phys. Rev., 40 D, p. 2598
  • Ramond, P., (1981) Field Theory, , Benjamin, Massachusetts
  • DeWitt, B.S., (1957) Rev. Mod. Phys., 29, p. 1
  • Halliwell, J.J., (1988) Phys. Rev., 38 D, p. 2468
  • Fradkin, E.S., Vilkovisky, G.A., (1975) Phys. Lett., 55 B, p. 2
  • Teitelboim, C., Proper time approach to the quantization of the gravitational field (1980) Physics Letters B, 96 B, p. 77

Citas:

---------- APA ----------
Gaioli, F.H. & Garcia-Alvarez, E.T. (1994) . The problem of time in parametrized theories. General Relativity and Gravitation, 26(12), 1267-1275.
http://dx.doi.org/10.1007/BF02106718
---------- CHICAGO ----------
Gaioli, F.H., Garcia-Alvarez, E.T. "The problem of time in parametrized theories" . General Relativity and Gravitation 26, no. 12 (1994) : 1267-1275.
http://dx.doi.org/10.1007/BF02106718
---------- MLA ----------
Gaioli, F.H., Garcia-Alvarez, E.T. "The problem of time in parametrized theories" . General Relativity and Gravitation, vol. 26, no. 12, 1994, pp. 1267-1275.
http://dx.doi.org/10.1007/BF02106718
---------- VANCOUVER ----------
Gaioli, F.H., Garcia-Alvarez, E.T. The problem of time in parametrized theories. Gen Relat Gravit. 1994;26(12):1267-1275.
http://dx.doi.org/10.1007/BF02106718