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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2014 Volume 178, Number 1, Pages 69–87 (Mi tmf8511)

This article is cited in 6 papers

Scalar field vacuum polarization on homogeneous spaces with an invariant metric

A. I. Breevab

a Tomsk National Research State University, Tomsk, Russia
b Tomsk National Research Polytechnical University, Tomsk, Russia

Abstract: We develop a method for calculating vacuum expectation values of the energy–momentum tensor of a scalar field on homogeneous spaces with an invariant metric. Solving this problem involves the method of generalized harmonic analysis based on the method of coadjoint orbits.

Keywords: vacuum polarization, energy–momentum tensor, harmonic analysis on homogeneous spaces.

Received: 06.02.2013
Revised: 11.08.2013

DOI: 10.4213/tmf8511


 English version:
Theoretical and Mathematical Physics, 2014, 178:1, 59–75

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© Steklov Math. Inst. of RAS, 2026