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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 178, Number 1, Pages 69–87
DOI: https://doi.org/10.4213/tmf8511 (Mi tmf8511) 		 
This article is cited in 6 scientific papers (total 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
Full-text PDF (495 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf8511
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
English version:
Theoretical and Mathematical Physics, 2014, Volume 178, Issue 1, Pages 59–75
DOI: https://doi.org/10.1007/s11232-014-0130-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. I. Breev, “Scalar field vacuum polarization on homogeneous spaces with an invariant metric”, TMF, 178:1 (2014), 69–87; Theoret. and Math. Phys., 178:1 (2014), 59–75
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf8511
  • https://doi.org/10.4213/tmf8511
  • https://www.mathnet.ru/eng/tmf/v178/i1/p69
    • This publication is cited in the following 6 articles:
    1. Ivanov D.A. Breev A.I., “Noncommutative Integration of the Klein-Gordon Equation in Electromagnetic Fields Admitting Functional Arbitrariness”, Russ. Phys. J., 62:12 (2020), 2169–2179  crossref  isi
    2. Breev A. Shapovalov A., “Non-Commutative Integration of the Dirac Equation in Homogeneous Spaces”, Symmetry-Basel, 12:11 (2020), 1867  crossref  isi
    3. A. I. Breev, A. V. Kozlov, “Vacuum Averages of the Energy-Momentum Tensor of a Scalar Field in Homogeneous Spaces with a Conformal Metric”, Russ Phys J, 58:9 (2016), 1248  crossref
    4. A I Breev, A V Shapovalov, “The Dirac equation in an external electromagnetic field: symmetry algebra and exact integration”, J. Phys.: Conf. Ser., 670 (2016), 012015  crossref
    5. Breev A.I., “Schrodinger Equation With Convolution Nonlinearity on Lie Groups and Commutative Homogeneous Spaces”, Russ. Phys. J., 57:8 (2014), 1050–1058  crossref  mathscinet  zmath  isi  scopus
    6. Breev A.I. Shapovalov A.V., “Yang-Mills Gauge Fields Conserving the Symmetry Algebra of the Dirac Equation in a Homogeneous Space”, XXII International Conference on Integrable Systems and Quantum Symmetries, Journal of Physics Conference Series, 563, ed. Burdik C. Navratil O. Posta S., IOP Publishing Ltd, 2014, 012004  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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