2024/10/26 by Ichiro Oda, Oda, Ichiro · 3 citations
Computer Science · Physics and Astronomy · #Distributed and Parallel Computing Systems #Digital Image Processing Techniques #Black Holes and Theoretical Physics
paper · pdf · doi:10.48550/arxiv.2410.20270
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 particlular, 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 the 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.