Vacuum quantum effects on Lie groups with bi-invariant metrics A. I. Breev, A. V. Shapovalov
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ArticleSubject(s): Ли группы | Фридмана-Робертсона-Уокера (FRW) космологические модели | вакуумGenre/Form: статьи в журналах Online resources: Click here to access online
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International journal of geometric methods in modern physics Vol. 16, № 8. P. 1950122 (1-28)Abstract: We consider the effects of vacuum polarization and particle creation of a scalar field on Lie groups with a non-stationary bi-invariant metric of the Robertson–Walker type. The vacuum expectation values of the energy momentum tensor for a scalar field determined by the group representation are found using the noncommutative integration method for the field equations instead of separation of variables. The results obtained are illustrated by the example of the three-dimensional rotation group.
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We consider the effects of vacuum polarization and particle creation of a scalar field on Lie groups with a non-stationary bi-invariant metric of the Robertson–Walker type. The vacuum expectation values of the energy momentum tensor for a scalar field determined by the group representation are found using the noncommutative integration method for the field equations instead of separation of variables. The results obtained are illustrated by the example of the three-dimensional rotation group.
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