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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 175, Number 1, Pages 50–61
DOI: https://doi.org/10.4213/tmf8405 (Mi tmf8405) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Fermions and Kaluza-Klein vacuum decay: a toy model

V. A. Rubakovab, M. Yu. Kuznetsovca

a Institute for Nuclear Research, RAS, Moscow, Russia
b Lomonosov Moscow State University, Moscow, Russia
c Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Oblast, Russia
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DOI: https://doi.org/10.4213/tmf8405
Abstract: We address the question of whether fermions with a twisted periodicity condition suppress the semiclassical decay of the $M^4\times S^1$ Kaluza–Klein vacuum. We consider a toy $(1{+}1)$-dimensional model with twisted fermions in a cigar-shaped Euclidean background geometry and calculate the fermion determinant. We find that the determinant is finite, contrary to expectations. We regard this as an indication that twisted fermions do not stabilize the Kaluza–Klein vacuum.
Keywords: Kaluza–Klein theory, semiclassical vacuum decay, twisted fermion, two-dimensional model.
Received: 24.08.2012
English version:
Theoretical and Mathematical Physics, 2013, Volume 175, Issue 1, Pages 489–498
DOI: https://doi.org/10.1007/s11232-013-0040-2
Bibliographic databases:
Language: Russian
Citation: V. A. Rubakov, M. Yu. Kuznetsov, “Fermions and Kaluza-Klein vacuum decay: a toy model”, TMF, 175:1 (2013), 50–61; Theoret. and Math. Phys., 175:1 (2013), 489–498
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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