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Abstract:

A formulation of the equivalence principle in quantum field theory is introduced. The quantum equivalence principle yields implementable Bogolyubov transformations. In this way we find a theory for a scalar field in curved space–time where particle creation is finite for every value of the coupling constant. In the particular case of conformal coupling the initial conditions of positive and negative frequency wave functions coincide with the ones of a first order WKB approximation. The coefficients of the Bogolyubov transformations are exactly computed and the created energy density is also finite. © 1981, American Institute of Physics. All rights reserved.

Registro:

Documento: Artículo
Título:The quantum equivalence principle and finite particle creation in expanding universes
Autor:Castagnino, M.; Weder, R.
Filiación:Departmento de Matemáticas, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón 1, Ciudad Universitaria, Buenos Aires, Argentina
Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, Apartado Postal 20‐726, México 20. D.F., United States
Palabras clave:BOGOLYJBOV TRANSFORMATION; BOUNDARY CONDITIONS; COSMOLOGY; COUPLING CONSTANTS; CREATION OPERATORS; EQUIVALENCE PRINCIPLE; GREEN FUNCTION; OLEIN−GORDON EQUATION; QUANTUM FIELD THEORY; SCALAR FIELDS; SPACE−TIME; UNIVERSE; WAVE FUNCTIONS
Año:1981
Volumen:22
Número:1
Página de inicio:142
Página de fin:151
DOI: http://dx.doi.org/10.1063/1.524746
Título revista:Journal of Mathematical Physics
Título revista abreviado:J. Math. Phys.
ISSN:00222488
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v22_n1_p142_Castagnino

Referencias:

  • Castagnino, M., (1978) J. Gen. Rel. Grav, 9, p. 101
  • Castagnino, M., Verbeure, A., Weder, R., (1974) Phys. Lett. A, 48, p. 99
  • Castagnino, M., Verbeure, A., Weder, R., (1975) Nuovo Cimento B, 26, p. 396
  • Lichnerowicz, A., (1961), p. 1. , Inst. Haut. Et. Sc. Publ. Math. No. 10 (); Parker, L., (1969) Phys. Rev, 133, p. 1057
  • Castagnino, M., These d’Etat, Université de Paris (1974), Part II to be published in Math. Notae; We shall use the work “implementable” in the large sense. Strictly speaking the Bogolyubov transformation would be unitarily implementable if the k spectrum would be discrete as in the case of a compact spatial geometry (or a normalization of the base functions in a box). As the present theory can be generalized to this kind of geometry we keep the word “implementable” to avoid the invention of a new one
  • Of course in this way we only have a first approximation of the geodesic distance (measured along the four‐dimensional many‐fold geodesic, not along the Cauchy surface geodesic). Therefore all the following formulas must be considered only as a first approximation. We shall give the exact theory elsewhere
  • Olver, F.W.J., (1961) Proc. Cambridge Philos. Soc, 57, p. 790
  • Olver, F.W.J., (1974) Asymptotics and Special Functions, , (Academic, New York)
  • Fulling, S.A., (1978), “Remarks on Positive Frequency and Hamiltonians in Expanding Universes,” preprint, Texas A&M University; Mamaev, S.G., Mostepanenko, V.M., Starobinskii, A.A., (1976) Sov. Phys. JETP, 43, p. 823
  • Chernikov, N.A., Tagirov, E.A., (1978) Ann Inst. Henri Poincaré A, 9, p. 109
  • Dewitt, B.S., (1975) Phys. Rep, 19, p. 295

Citas:

---------- APA ----------
Castagnino, M. & Weder, R. (1981) . The quantum equivalence principle and finite particle creation in expanding universes. Journal of Mathematical Physics, 22(1), 142-151.
http://dx.doi.org/10.1063/1.524746
---------- CHICAGO ----------
Castagnino, M., Weder, R. "The quantum equivalence principle and finite particle creation in expanding universes" . Journal of Mathematical Physics 22, no. 1 (1981) : 142-151.
http://dx.doi.org/10.1063/1.524746
---------- MLA ----------
Castagnino, M., Weder, R. "The quantum equivalence principle and finite particle creation in expanding universes" . Journal of Mathematical Physics, vol. 22, no. 1, 1981, pp. 142-151.
http://dx.doi.org/10.1063/1.524746
---------- VANCOUVER ----------
Castagnino, M., Weder, R. The quantum equivalence principle and finite particle creation in expanding universes. J. Math. Phys. 1981;22(1):142-151.
http://dx.doi.org/10.1063/1.524746