Vacuum quantum effects on Lie groups with bi-invariant metrics

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	https://doi.org/10.1142/S0219887819501226
Publication status	Published - 1 Jan 2019

Keywords

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

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

Access to Document

10.1142/S0219887819501226

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title = "Vacuum quantum effects on Lie groups with bi-invariant metrics",

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 = "Friedmann-Robertson-Walker model, Lie groups, noncommutative integration method, orbit method, particle creation, Vacuum polarization",

author = "Breev, {A. I.} and Shapovalov, {A. V.}",

year = "2019",

month = jan,

day = "1",

doi = "10.1142/S0219887819501226",

language = "English",

journal = "International Journal of Geometric Methods in Modern Physics",

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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

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