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.
| Original language | English |
|---|---|
| Journal | International Journal of Geometric Methods in Modern Physics |
| DOIs | |
| Publication status | Published - 1 Jan 2019 |
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Keywords
- Friedmann-Robertson-Walker model
- Lie groups
- noncommutative integration method
- orbit method
- particle creation
- Vacuum polarization
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
Cite this
Vacuum quantum effects on Lie groups with bi-invariant metrics. / Breev, A. I.; Shapovalov, A. V.
In: International Journal of Geometric Methods in Modern Physics, 01.01.2019.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Vacuum quantum effects on Lie groups with bi-invariant metrics
AU - Breev, A. I.
AU - Shapovalov, A. V.
PY - 2019/1/1
Y1 - 2019/1/1
N2 - 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.
AB - 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.
KW - Friedmann-Robertson-Walker model
KW - Lie groups
KW - noncommutative integration method
KW - orbit method
KW - particle creation
KW - Vacuum polarization
UR - http://www.scopus.com/inward/record.url?scp=85068433292&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85068433292&partnerID=8YFLogxK
U2 - 10.1142/S0219887819501226
DO - 10.1142/S0219887819501226
M3 - Article
JO - International Journal of Geometric Methods in Modern Physics
JF - International Journal of Geometric Methods in Modern Physics
SN - 0219-8878
ER -