Vacuum quantum effects on Lie groups with bi-invariant metrics-Reference-Cited by-同舟云学术

Vacuum quantum effects on Lie groups with bi-invariant metrics

Published:2019-08 Issue:08 Volume:16 Page:1950122
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Breev A. I.¹,Shapovalov A. V.¹²^ORCID

Affiliation:

1. Department of Theoretical Physics, Tomsk State University, Novosobornaya Sq. 1, 634050 Tomsk, Russia

2. Tomsk Polytechnic University, Lenin Ave. 30, 634034 Tomsk, Russia

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887819501226

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1. Quantum Fields in Curved Space

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