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Fermions and Kaluza-Klein vacuum decay: A toy model

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Abstract

We address the question of whether fermions with a twisted periodicity condition suppress the semiclassical decay of the M4×S1 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.

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Authors and Affiliations

  1. Institute for Nuclear Research, RAS, Moscow, Russia

    V. A. Rubakov & M. Yu. Kuznetsov

  2. Lomonosov Moscow State University, Moscow, Russia

    V. A. Rubakov

  3. Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Oblast, Russia

    M. Yu. Kuznetsov

Authors
  1. V. A. Rubakov
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  2. M. Yu. Kuznetsov
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Corresponding author

Correspondence to V. A. Rubakov.

Additional information

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 175, No. 1, pp. 50–61, April, 2013.

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Rubakov, V.A., Kuznetsov, M.Y. Fermions and Kaluza-Klein vacuum decay: A toy model. Theor Math Phys 175, 489–498 (2013). https://doi.org/10.1007/s11232-013-0040-2

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  • DOI: https://doi.org/10.1007/s11232-013-0040-2

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