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Abstract:

We continue our earlier investigation of the back reaction problem in semiclassical gravity with the Schwinger-Keldysh or closed-time-path (CTP) functional formalism using the language of the decoherent history formulation of quantum mechanics. Making use of its intimate relation with the Feynman-Vernon influence functional method, we examine the statistical mechanical meaning and show the interrelation of the many quantum processes involved in the back reaction problem, such as particle creation, decoherence, and dissipation. We show how noise and fluctuation arise naturally from the CTP formalism. We derive an expression for the CTP effective action in terms of the Bogoliubov coefficients and show how noise is related to the fluctuations in the number of particles created. In so doing we have extended the old framework of semiclassical gravity, based on the mean field theory of Einstein equation with a source given by the expectation value of the energy-momentum tensor, to that based on a Langevin-type equation, where the dynamics of the fluctuations of spacetime is driven by the quantum fluctuations of the matter field. This generalized framework is useful for the investigation of quantum processes in the early Universe involving fluctuations, vacuum instability, and phase transition phenomena as well as the nonequilibrium thermodynamics of black holes. It is also essential to an understanding of the transition from any quantum theory of gravity to classical general relativity. © 1994 The American Physical Society.

Registro:

Documento: Artículo
Título:Noise and fluctuations in semiclassical gravity
Autor:Calzetta, E.; Hu, B.L.
Filiación:Institute de Astronomia y Física del Espacio, Facultad de Ciencias Exactas y Naturales, Buenos Aires, Argentina
Department of Physics, University of Maryland, College Park, MD 20742, United States
Año:1994
Volumen:49
Número:12
Página de inicio:6636
Página de fin:6655
DOI: http://dx.doi.org/10.1103/PhysRevD.49.6636
Título revista:Physical Review D
ISSN:05562821
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v49_n12_p6636_Calzetta

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Citas:

---------- APA ----------
Calzetta, E. & Hu, B.L. (1994) . Noise and fluctuations in semiclassical gravity. Physical Review D, 49(12), 6636-6655.
http://dx.doi.org/10.1103/PhysRevD.49.6636
---------- CHICAGO ----------
Calzetta, E., Hu, B.L. "Noise and fluctuations in semiclassical gravity" . Physical Review D 49, no. 12 (1994) : 6636-6655.
http://dx.doi.org/10.1103/PhysRevD.49.6636
---------- MLA ----------
Calzetta, E., Hu, B.L. "Noise and fluctuations in semiclassical gravity" . Physical Review D, vol. 49, no. 12, 1994, pp. 6636-6655.
http://dx.doi.org/10.1103/PhysRevD.49.6636
---------- VANCOUVER ----------
Calzetta, E., Hu, B.L. Noise and fluctuations in semiclassical gravity. 1994;49(12):6636-6655.
http://dx.doi.org/10.1103/PhysRevD.49.6636