One-loop effective action for quantum gravity plus matter is computed off-shell in a general background gauge, shown to be gauge-independent on-shell per the DeWitt-Kallosh theorem, and used to establish non-renormalizability.
Background gauge renormalization and BRST identities
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abstract
We show that the BRST identities can be used to control the renormalization of the background gauge in QCD, in spite of the fact that one-particle reducible graphs have to be omitted. We obtain the all orders renormalized affective action for the background field theory.
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Quantum gravity and matter fields in a general background gauge
One-loop effective action for quantum gravity plus matter is computed off-shell in a general background gauge, shown to be gauge-independent on-shell per the DeWitt-Kallosh theorem, and used to establish non-renormalizability.