6,341 research outputs found
The n-wave procedure and dimensional regularization for the scalar field in a homogeneous isotropic space
We obtain expressions for the vacuum expectations of the energy-momentum
tensor of the scalar field with an arbitrary coupling to the curvature in an
N-dimensional homogeneous isotropic space for the vacuum determined by
diagonalization of the Hamiltonian. We generalize the n-wave procedure to
N-dimensional homogeneous isotropic space-time. Using the dimensional
regularization, we investigate the geometric structure of the terms subtracted
from the vacuum energy-momentum tensor in accordance with the n-wave procedure.
We show that the geometric structures of the first three subtractions in the
n-wave procedure and in the effective action method coincide. We show that all
the subtractions in the n-wave procedure in a four- and five-dimensional
homogeneous isotropic spaces correspond to a renormalization of the coupling
constants of the bare gravitational Lagrangian.Comment: LATEX, 20 pages, no figur
Creation of the Nonconformal Scalar Particles in Nonstationary Metric
The nonconformal scalar field is considered in N-dimensional space-time with
metric which includes, in particular, the cases of nonhomogeneous spaces and
anisotropic spaces of Bianchi type-I. The modified Hamiltonian is constructed.
Under the diagonalization of it the energy of quasiparticles is equal to the
oscillator frequency of the wave equation. The density of particles created by
nonstationary metric is investigated. It is shown that the densities of
conformal and nonconformal particles created in Friedmann radiative-dominant
Universe coincide.Comment: LaTeX, 4 pages, no figure
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