BRST formalism of f(R) gravity

Le résumé fourni par la source

Abstract We perform the manifestly covariant quantization of f(R) gravity in the de Donder gauge condition (or harmonic gauge condition) for general coordinate invariance. We explicitly calculate various equal-time commutation relations (ETCRs), in particular the ETCR between the metric and its time derivative, and show that it has a nonvanishing and nontrivial expression, whose situation should be contrasted to the previous result in higher-derivative or quadratic gravity where the ETCR was found to be identically vanishing. We also clarify global symmetries, the physical content of f(R) gravity, and clearly show that this theory is manifestly unitary and has a massive scalar and massless graviton as physical modes.

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