Vacuum quantum effects on Lie groups with bi-invariant metrics
General Relativity and Quantum Cosmology
2019-07-01 v1
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.
Cite
@article{arxiv.1906.01826,
title = {Vacuum quantum effects on Lie groups with bi-invariant metrics},
author = {A. I. Breev and A. V. Shapovalov},
journal= {arXiv preprint arXiv:1906.01826},
year = {2019}
}
Comments
28 pages, version accepted for publication in Int. J. Geom. Methods Mod. Phys