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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 166, Number 3, Pages 388–409
DOI: https://doi.org/10.4213/tmf6618
(Mi tmf6618)
 

This article is cited in 3 scientific papers (total in 3 papers)

Kaluza–Klein pistons with noncommutative extra dimensions

V. K. Oikonomouab

a Department of Theoretical Physics, Aristotle University of Thessaloniki, Thessaloniki, Greece
b Technological Education Institute of Serres, Serres, Greece
Full-text PDF (451 kB) Citations (3)
References:
Abstract: We calculate the scalar Casimir energy and Casimir force for an R3×N Kaluza–Klein piston setup in which the extra-dimensional space N contains a noncommutative two-dimensional sphere Sfz. We study the cases with Td×Sfz and Sfz as the extra-dimensional spaces, where Td is the d-dimensional commutative torus, and examine the validity of the results and the regularization obtained in the piston setup in each case. We examine the Casimir energy with one-loop corrections for one piston chamber due to the self-interacting scalar field in the noncommutative geometry. We compute with some approximations. We compare the obtained results with the results of analogous computations for the Minkowski space–time MD. In conclusion, we discuss the stabilization of the extra-dimensional space in the piston setup.
Keywords: Casimir energy, Casimir force, noncommutative geometry, piston, extra dimension.
Received: 06.03.2010
Revised: 28.06.2010
English version:
Theoretical and Mathematical Physics, 2011, Volume 166, Issue 3, Pages 337–355
DOI: https://doi.org/10.1007/s11232-011-0027-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. K. Oikonomou, “Kaluza–Klein pistons with noncommutative extra dimensions”, TMF, 166:3 (2011), 388–409; Theoret. and Math. Phys., 166:3 (2011), 337–355
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6618
  • https://www.mathnet.ru/eng/tmf/v166/i3/p388
  • This publication is cited in the following 3 articles:
    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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