Quadratic gravity has vanishing equal-time metric commutators in both the standard and higher-derivative de Donder gauges, making the metric look classical.
Renormalization of Higher Derivative Quantum Gravity
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Vanishing Metric Commutation Relation and Higher-derivative De Donder Gauge in Quadratic Gravity
Quadratic gravity has vanishing equal-time metric commutators in both the standard and higher-derivative de Donder gauges, making the metric look classical.