Induced Einstein-Hilbert-Yang-Mills action from quantum effects in generalized Kaluza-Klein theory

Blackett Laboratory, Imperial College, London SW7 2BZ, UK; David J. Toms; University of Wisconsin-Milwaukee, Physics Department, PO Box 413, Milwaukee, WI 53201, USA
Physics Letters B (Impact Factor: 4.57). 01/1984; DOI: 10.1016/0370-2693(84)90392-7

ABSTRACT It is shown how the Einstein-Hilbert-Yang-Mills action may be induced from quantized matter fields on a non-abelian Kaluza-Klein background. General formulae are derived in the case of a quantized scalar field when the extra dimensions form a coset space. Explicit results are obtained in the special case of odd-dimensional spheres.

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