Phys. Rev. D 10, 411–420 (1974)Nonrenormalizability of the quantized Dirac-Einstein systemReceived 11 April 1974; published in the issue dated 15 July 1974 The coupled Dirac-Einstein system is quantized and shown to be one-loop nonrenormalizable: The diagrams with eight external fermions yield a divergence proportional to the fourth power of the fermion axial-vector current. The gravitational variables required to couple gravitation to fermions are the (sixteen) vierbein fields possessing local Lorentz as well as coordinate invariance. For gravitation coupled to bosons, the vierbein and metric formulations remain equivalent at the quantum level. © 1974 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.10.411
DOI:
10.1103/PhysRevD.10.411
PACS:
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