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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf8405https://doi.org/10.4213/tmf8405 https://www.mathnet.ru/eng/tmf/v175/i1/p50
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Abstract page: | 683 | Full-text PDF : | 252 | References: | 86 | First page: | 48 |
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