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.
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A Lagrange multiplier field restricts one-loop quantum corrections to the Einstein-Hilbert action, producing a renormalizable and unitary model that recovers Einstein equations classically.
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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.
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A Renormalizable and Unitary Approach to Quantum Gravity
A Lagrange multiplier field restricts one-loop quantum corrections to the Einstein-Hilbert action, producing a renormalizable and unitary model that recovers Einstein equations classically.