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TMF, 2016, Volume 186, Number 2, Pages 243–251 (Mi tmf8940)  

This article is cited in 2 scientific papers (total in 2 papers)

Vacuum interaction of conic singularities

Yu. V. Grats

Faculty of Physics, Lomonosov Moscow State University, Moscow, Russia

Abstract: In the $(\operatorname{tr}\ln)$-formalism, we consider the problem of the vacuum interaction of conic singularities in a $D$-dimensional ($D\ge 3$) space–time. We show that the interaction energy regularized by dimensional regularization contains neither ultraviolet divergences nor divergences associated with the nonintegrable nature of the vacuum mean of the energy–momentum tensor operator. In the case of four space–time dimensions, the result coincides with those obtained previously in a local approach.

Keywords: Casimir effect, conic singularity, dimensional regularization

DOI: https://doi.org/10.4213/tmf8940

Full text: PDF file (365 kB)
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English version:
Theoretical and Mathematical Physics, 2016, 186:2, 205–212

Bibliographic databases:

Received: 24.03.2015
Revised: 06.05.2015

Citation: Yu. V. Grats, “Vacuum interaction of conic singularities”, TMF, 186:2 (2016), 243–251; Theoret. and Math. Phys., 186:2 (2016), 205–212

Citation in format AMSBIB
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\by Yu.~V.~Grats
\paper Vacuum interaction of conic singularities
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\pages 243--251
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\jour Theoret. and Math. Phys.
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\vol 186
\issue 2
\pages 205--212
\crossref{https://doi.org/10.1134/S0040577916020069}
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  • http://mi.mathnet.ru/eng/tmf/v186/i2/p243

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Yu. V. Grats, P. Spirin, “Vacuum polarization and classical self-action near higher-dimensional defects”, Eur. Phys. J. C, 77:2 (2017), 101  crossref  isi  scopus
    2. Yu. V. Grats, “Casimir energy in contact-interaction models”, Phys. Atom. Nuclei, 81:2 (2018), 253–256  crossref  crossref  isi  elib  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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