Loss of coherence in multidimensional minisuperspaces

Details Loss of coherence in multidimensional minisuperspaces Loss of coherence in multidimensional minisuperspaces

Mar 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phrvd..43.1853g&link_type=abstract

Physical Review D (Particles and Fields), Volume 43, Issue 6, 15 March 1991, pp.1853-1858

Mathematics

Logic

12

Scientific paper

In the semiclassical limit of quantum gravity, solutions to the Wheeler-DeWitt equation involve several WKB components. In order to reach the adequate classical limit these contributions should not interfere. We show here that this is in general the case. We work with a general minisuperspace model with perturbations and we construct the reduced density matrix ρ~(gA,g'A) by tracing out all the nonrelevant modes of the environment. It turns out that not only are the off-diagonal terms of ρ~(gA,g'A) strongly suppressed but the quantum contributions to ρ~(gA,gA) due to interference between different semiclassical solutions also vanish. As an example we discuss the particular case of the Kantowski-Sachs cosmological model.

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