Abstract:
We consider the classical stochastic fluctuations of spacetime geometry induced by quantum fluctuations of massless nonconformal matter fields in the early Universe. To this end, we supplement the stress-energy tensor of these fields with a stochastic part, which is computed along the lines of the Feynman-Vernon and Schwinger-Keldysh techniques; the Einstein equation is therefore upgraded to a so-called Einstein-Langevin equation. We consider in some detail the conformal fluctuations of flat spacetime and the fluctuations of the scale factor in a simple cosmological model introduced by Hartle, which consists of a spatially flat isotropic cosmology driven by radiation and dust. © 1997 The American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Stochastic semiclassical cosmological models |
Autor: | Calzetta, E.; Campos, A.; Verdaguer, E. |
Filiación: | Instituto de Astronomía y Física del Espacio (IAFE) and Departamento de Física, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, 1428, Argentina Grup de Física Teòrica and Institut de Física d’Altes Energies (IFAE), Universitat Autònoma de Barcelona, Bellaterra (Barcelona), 08193, Spain Departament de Física Fonamental and IFAE, Universitat de Barcelona, Avinguda Diagonal 647, 08028, Spain
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Año: | 1997
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Volumen: | 56
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Número: | 4
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Página de inicio: | 2163
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Página de fin: | 2172
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DOI: |
http://dx.doi.org/10.1103/PhysRevD.56.2163 |
Título revista: | Physical Review D - Particles, Fields, Gravitation and Cosmology
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Título revista abreviado: | Phys Rev D Part Fields Gravit Cosmol
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ISSN: | 15507998
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v56_n4_p2163_Calzetta |
Referencias:
- Rosenfeld, L., (1963) Nucl. Phys., B40, p. 353
- Birrell, N.D., Davies, P.C.W., (1982) Quantum Fields in Curved Space, , Cambridge University Press, Cambridge, England
- Paz, J.P., Sinha, S., (1991) Phys. Rev. D, 44, p. 1038
- Gell-Mann, M., Hartle, J.B., (1993) Phys. Rev. D, 47, p. 3345
- Kuo, C.-I., Ford, L.H., (1993) Phys. Rev. D, 47, p. 4510
- Hu, B.L., Phillips, N., (1997) Phys. Rev. D, 55, p. 6123
- Calzetta, E., Hu, B.-L., (1989) Phys. Rev. D, 40, p. 656
- Calzetta, E., Hu, B.-L., (1994) Phys. Rev. D, 49, p. 6636
- (1989) Physica A, 158, p. 399. , Quantum Classical Correspondence, edited by D. H. Feng and B. L. Hu (International Press, Boston, 1996); gr-qc/9607070
- Fischetti, M.V., Hartle, J.B., Hu, B.-L., (1979) Phys. Rev. D, 20, p. 1757
- Hartle, J.B., Hu, B.-L., (1979) Phys. Rev. D, 20, p. 1772
- Calzetta, E., Hu, B.-L., (1987) Phys. Rev. D, 35, p. 495
- Calzetta, E., (1989) Class. Quantum Grav., 6, pp. L227
- (1991) Phys. Rev. D, 43, p. 2498
- Calzetta, E., Castagnino, M., Scoccimarro, R., (1992), 45, p. 2806; Callen, H., Welton, T., (1951) Phys. Rev., 83, p. 34
- Landau, L., Lifshitz, E., Pitaevsky, L., (1980) Statistical Physics, , Pergamon, London
- Ma, S.K., (1976) Modern Theory of Critical Phenomena, , Benjamin, London
- Boon, J.P., Yip, S., (1991) Molecular Hydrodynamics, , Dover, New York
- Hu, B.-L., Sinha, S., (1995) Phys. Rev. D, 51, p. 1587
- Hu, B.-L., Matacz, A., (1995), 51, p. 1577; Parker, L., (1968) Phys. Rev. Lett., 21, p. 562
- (1969) Phys. Rev., 183, p. 1057
- Zeldovich, Y.B., (1970) JETP Lett., 12, p. 307. , JTPLA2
- Hu, B.L., Paz, J.P., Zhang, Y., (1992) Phys. Rev. D, 45, p. 2843
- Campos, A., Verdaguer, E., (1996) Phys. Rev. D, 53, p. 1927
- Lombardo, F., Mazzitelli, F.D., (1997) Phys. Rev. D, 55, p. 3889
- Feynman, R.P., Vernon, F.L., (1963) Ann. Phys. (N.Y.), 24, p. 118. , APNYA6
- Feynman, R.P., Hibbs, A.R., (1965) Quantum Mechanics and Path Integrals, , McGraw-Hill, New York
- Calzetta, E., Hu, B.-L., (1995) Phys. Rev. D, 52, p. 6770
- Calzetta, E., Gonorazky, S., (1997) Phys. Rev. D, 55, p. 1812
- Matacz, A., (1997) Phys. Rev. D, 55, p. 1860
- Matacz, A., ; Morikawa, M., (1993) Vistas Astron., 37, p. 87. , VASTA6
- Calzetta, E., Hu, B.-L., (1997) Phys. Rev. D, 55, p. 3536
- Hartle, J.B., (1981) Phys. Rev. D, 23, p. 2121
- Grishchuk, L.P., (1975) Sov. Phys. JETP, 40, p. 409
- Horowitz, G.T., (1980) Phys. Rev. D, 21, p. 1445
- Flanagan, E.E., Wald, R.M., (1996) Phys. Rev. D, 54, p. 6233
- Hartle, J.B., (1977) Phys. Rev. Lett., 39, p. 1373
- Starobinsky, A.A., Zeldovich, Y.B., (1972) Sov. Phys. JETP, 34, p. 1159
- Starobinsky, A.A., Zeldovich, Y.B., (1977) Pis’ma Zh. Éksp. Teor. Fiz., 26, p. 377
- Birrell, N.D., Davies, P.C.W., (1980) J. Phys. A, 13, p. 2109. , JPHAC5
- Lukash, V.N., Starobinsky, A.A., (1974) Sov. Phys. JETP, 39, p. 742
- Lukash, V.N., Novikov, I.D., Starobinsky, A.A., Zeldovich, Y.B., (1976) Nuovo Cimento B, 35, p. 293
- Hu, B.-L., Parker, L., (1978) Phys. Rev. D, 17, p. 933
- Frieman, J.A., (1989) Phys. Rev. D, 39, p. 389
- Céspedes, J., Verdaguer, E., (1990), 41, p. 1022; Campos, A., Verdaguer, E., (1992), 45, p. 4428; Campos, A., Verdaguer, E., (1994) Phys. Rev. D, 49, p. 1861
- Starobinsky, A.A., (1980) Phys. Lett., 91B, p. 99
- Anderson, P., (1983) Phys. Rev. D, 28, p. 281
- Wald, R., (1994) Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics, , The University of Chicago Press, Chicago
- Simon, J.Z., (1991) Phys. Rev. D, 43, p. 3308
- Parker, L., Simon, J.Z., (1993), 47, p. 1339; Anderson, P., (1985) Phys. Rev. D, 32, p. 1302
- Schwinger, J., (1961) J. Math. Phys. (N.Y.), 2, p. 407
- (1962) Phys. Rev., 128, p. 2425
- Bakshi, P.M., Mahanthappa, K.T., (1963) J. Math. Phys. (N.Y.), 4, p. 1
- Keldysh, L.V., (1964) Zh. Éksp. Teor. Fiz., 47, p. 1515. , ZETFA7
- Chou, K., Su, Z., Hao, B., Yu, L., (1985) Phys. Rep., 118, p. 1
- Jordan, R.D., (1986) Phys. Rev. D, 33, p. 444
- Abers, E.S., Lee, B.W., (1973) Phys. Rep., Phys. Lett., 9C, p. 1
- Campos, A., Verdaguer, E., ; Kadanoff, L., Baym, G., (1962) Quantum Statistical Mechanics, , Benjamin, New York
- Calzetta, E., Hu, B.-L., (1988) Phys. Rev. D, 37, p. 2878
- Misner, C., (1969) Phys. Rev., 186, p. 1328
Citas:
---------- APA ----------
Calzetta, E., Campos, A. & Verdaguer, E.
(1997)
. Stochastic semiclassical cosmological models. Physical Review D - Particles, Fields, Gravitation and Cosmology, 56(4), 2163-2172.
http://dx.doi.org/10.1103/PhysRevD.56.2163---------- CHICAGO ----------
Calzetta, E., Campos, A., Verdaguer, E.
"Stochastic semiclassical cosmological models"
. Physical Review D - Particles, Fields, Gravitation and Cosmology 56, no. 4
(1997) : 2163-2172.
http://dx.doi.org/10.1103/PhysRevD.56.2163---------- MLA ----------
Calzetta, E., Campos, A., Verdaguer, E.
"Stochastic semiclassical cosmological models"
. Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 56, no. 4, 1997, pp. 2163-2172.
http://dx.doi.org/10.1103/PhysRevD.56.2163---------- VANCOUVER ----------
Calzetta, E., Campos, A., Verdaguer, E. Stochastic semiclassical cosmological models. Phys Rev D Part Fields Gravit Cosmol. 1997;56(4):2163-2172.
http://dx.doi.org/10.1103/PhysRevD.56.2163