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Prog. Theor. Phys. Vol. 74 No. 4 (1985) pp. 832-841

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On Instability of Squashed Spheres in the Kaluza-Klein Theory

Kiyoshi Shiraishi

National Laboratory for High Energy Physics (KEK), Tsukuba, Ibaraki 305
Department of Physics, Tokyo Metropolitan University, Setagaya, Tokyo 158

(Received May 17, 1985)

Abstract:

We study in Kaluza-Klein theories stability of the extra space against “squashing”, in other words, the homogeneous deformation. Quantum fluctuations of matter fields at one-loop level are taken into consideration. We calculate the effective potential in modes of the type, M4×S3 and M4×S7. It is found that in the case of scalar matter fields the stability depends on the coupling to the scalar curvature.


URL : http://ptp.ipap.jp/link?PTP/74/832/
DOI : 10.1143/PTP.74.832

[ Full Text PDF (363K) ]  [ Buy This Article ]  Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 77 No. 5 (1987) pp. 1253-1266 :
    Finite Temperature and Density Effects in Higher Dimensions with and without Compactifications
    Kiyoshi Shiraishi

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