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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… Click to show full 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.
Keywords:
effects lie;
lie groups;
quantum effects;
vacuum quantum;
invariant metrics;
groups invariant
Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2019
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Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!