|
MATHEMATICAL MODELING AND NUMERICAL SIMULATION
Vacuum polarization of scalar field on Lie groups with bi-invariantmetric
A. I. Breeva, A. V. Shapovalovb a Tomsk State University, 36 Lenin Prospekt, Tomsk, 634050, Russia
b Tomsk Polytechnical University, 30 Lenin ave., Tomsk, 634050, Russia
Abstract:
We consider vacuum polarization of a scalar field on the Lie groups with a bi-invariant metric of Robertson-Walker type. Using the method of orbits we found expression for the vacuum expectation values of the energy-momentum tensor of the scalar field which are determined by the representation character of the group. It is shown that Einstein’s equations with the energy-momentum tensor are consistent. As an example, we consider isotropic Bianchi type IX model.
Keywords:
vacuum polarization, orbit method.
Received: 18.04.2015 Revised: 21.08.2015
Citation:
A. I. Breev, A. V. Shapovalov, “Vacuum polarization of scalar field on Lie groups with bi-invariantmetric”, Computer Research and Modeling, 7:5 (2015), 989–999
Linking options:
https://www.mathnet.ru/eng/crm273 https://www.mathnet.ru/eng/crm/v7/i5/p989
|
Statistics & downloads: |
Abstract page: | 123 | Full-text PDF : | 42 | References: | 28 |
|