Physics – Nuclear Physics
Scientific paper
Oct 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986nuphb.276..729w&link_type=abstract
Nuclear Physics B, Volume 276, Issue 3-4, p. 729-743.
Physics
Nuclear Physics
74
Scientific paper
We construct the quantum theory of cosmological perturbations as the semiclassical approximation to the linearized canonical quantum gravity. After the elimination of the scalar and vector perturbations of the metric, the harmonic oscillators for the tensor perturbations with background-dependent frequencies are obtained. The semiclassical approximation gives the free field theory of gravitons on the homogeneous isotropic universe in the Schroedinger representation. We discuss the general structure of the theory and present explicit solutions on the de Sitter background. When the background part of the wave function is exponentially increasing in the classically forbidden region, its perturbation part is unique. An interpretation of the solution is given by expanding the wave function into wave packets. In particular, we explain where and how the perturbations are considered to be in the ground state (zero-point oscillation), and where and how they become classical. Back-reactions and their renormalization are also discussed.
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