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Why is the Weyl tensor square gravity non-unitary?

Physics Asked on November 12, 2020

I want to understand constraints of unitarity in quantum field theory. There is quite folklore statement:

gravity with a Weyl tensor square term is non-unitary

How to understand this? (I think that it is quite simple, because we rarely prove unitarity and it directly follows from action)

How to modify theory to obtain unitary theory?

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