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Dirac field in the five-dimensional Kaluza-Klein theory

A Macias et al 1991 Class. Quantum Grav. 8 203-208   doi: 10.1088/0264-9381/8/1/020  Help

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A Macias and H Dehnen
Konstanz Univ., West Germany

Abstract. 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.

Print publication: Issue 1 (January 1991)

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