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We always hear from the community that gravity is difficult to quantize, and quantum gravity field theories have some difficulties in terms of renormalization and are associated with quantum anomalies, such as,

Is there any straightforward reference which shows using explicit derivations why all these facts are true? because most of quantum field theory books lack such rigorous explanation

Qmechanic
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  • See https://physics.stackexchange.com/questions/488955/why-is-quantum-gravity-non-renormalizable and https://arxiv.org/abs/0709.3555 Intuitively, the problem with quantizing gravity is that it has black holes. – d_b Mar 30 '23 at 06:47

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