Compactified space dynamic perturbations in multidimensional model with nonlocal vacuum corrections.

Details Compactified space dynamic perturbations in multidimensional model with nonlocal vacuum corrections. Compactified space dynamic perturbations in multidimensional model with nonlocal vacuum corrections.

Jun 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993temf...95..549d&link_type=abstract

Teor. Mat. Fiz., Vol. 95, No. 3, p. 549 - 559

Computer Science

Scientific paper

For a six-dimensional model with the matter represented by a quantized scalar field the time-dependent isotropic perturbations of the internal space S2 are investigated. Within the frames of the local vacuum corrections "partial summation" the exact equations for the multidimensional Universe proper frequencies are obtained, whose solvability is proved numerically. Some general properties of the spectrum and the details concerned with the vacuum nonlocality are discussed. The spontaneous compactification is found to be unstable independently of the nonminimal coupling constant values. The direct calculations confirm the invalidity of the weak non-stationary approximation used before, so we still have no one example of a semiclassically stable compactification.

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