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Phys. Rev. D 10, 3337–3342 (1974)

One-loop divergences of the Einstein-Yang-Mills system

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S. Deser*, Hung-Sheng Tsao†, and P. van Nieuwenhuizen‡
Department of Physics, Brandeis University, Waltham, Massachusetts 02154

Received 1 July 1974; published in the issue dated 15 November 1974

The one-loop ultraviolet divergences of the quantized coupled Einstein-Yang-Mills fields are evaluated. They are precisely of the same nonrenormalizable form as for a corresponding set of free Maxwell fields together with the usual flat-space Yang-Mills divergences. The two free Yang-Mills field parameters, namely the group dimension and the self-coupling constant, cannot be chosen to make the one-loop divergences renormalizable in the usual sense.

© 1974 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.10.3337
DOI:
10.1103/PhysRevD.10.3337
PACS:

*Research supported by the National Science Foundation.

†Research supported by the U. S. Atomic Energy Commission under Contract No. AT(11-1)3230. Address after September 1974: Institute for Advanced Study, Princeton, N. J. 08540.

‡Research supported by the National Science Foundation and Nederlands Ministerie van Onderwijs en Wetenschappen.

 
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