Vacuum polarization of scalar field on Lie groups with Bi-invariant metric

Breev A.I., Shapovalov A.V.
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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
Citation in English: Breev A.I., Shapovalov A.V. Vacuum polarization of scalar field on Lie groups with Bi-invariant metric // Computer Research and Modeling, 2015, vol. 7, no. 5, pp. 989-999
Citation in English: Breev A.I., Shapovalov A.V. Vacuum polarization of scalar field on Lie groups with Bi-invariant metric // Computer Research and Modeling, 2015, vol. 7, no. 5, pp. 989-999
DOI: 10.20537/2076-7633-2015-7-5-989-999
URL: http://crm-en.ics.org.ru/journal/article/2366/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
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