Geodesic
Fermions and Kaluza-Klein vacuum decay: a~toy model
Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 1, pp. 50-61

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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. 
@article{TMF_2013_175_1_a3,
     author = {V. A. Rubakov and M. Yu. Kuznetsov},
     title = {Fermions and {Kaluza-Klein} vacuum decay: a~toy model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {50--61},
     publisher = {mathdoc},
     volume = {175},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2013_175_1_a3/}
}
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V. A. Rubakov; M. Yu. Kuznetsov. Fermions and Kaluza-Klein vacuum decay: a~toy model. Teoretičeskaâ i matematičeskaâ fizika, Tome 175 (2013) no. 1, pp. 50-61. http://geodesic.mathdoc.fr/item/TMF_2013_175_1_a3/