Vacuum quantum effects on Lie groups with bi-invariant metrics

A. I. Breev, A. V. Shapovalov

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
JournalInternational Journal of Geometric Methods in Modern Physics
Publication statusPublished - 1 Jan 2019


  • Friedmann-Robertson-Walker model
  • Lie groups
  • noncommutative integration method
  • orbit method
  • particle creation
  • Vacuum polarization

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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