Phys. Rev. D 41, 3709–3719 (1990)Modification of Kaluza-Klein theoryReceived 23 October 1989; published in the issue dated 15 June 1990 A modification of the traditional formulation of Kaluza-Klein theory is proposed in which the internal structure is described by a noncommutative geometry based on a semisimple algebra. The classical theory of Yang-Mills fields and of Dirac fermions is developed in the resulting geometry. The generalized connection is written down which should describe the unification of the Yang-Mills fields with gravity, but the gravitational sector is not described in detail. As an example the mass and charge spectrum of the Yang-Mills-Dirac theory are given for a specific internal structure. © 1990 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.41.3709
DOI:
10.1103/PhysRevD.41.3709
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