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Dirac field in the five-dimensional Kaluza-Klein theory

A Macias and H Dehnen

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The authors consider the five-dimensional Kaluza-Klein theory with a Dirac field coupled to the metric field. As a result, the authors obtain a four-dimensional Einstein-Maxwell-Dirac theory with an extra CP violating term. The resultant anomalous electromagnetic dipole moment of the electron is of the order of magnitude of about 10-31 e cm, and may not be detectable by present experimental techniques. However, the mass of the charged Dirac particle is found to be of the order of the Planck mass (10-7 g), so that the Kaluza-Klein theory containing spin-1/2 particles must be rejected.


PACS

04.50.-h Higher-dimensional gravity and other theories of gravity

04.20.-q Classical general relativity

MSC

83E15 Kaluza-Klein and other higher-dimensional theories

83Cxx General relativity

Subjects

Gravitation and cosmology

Dates

Issue 1 (January 1991)



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