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However, I have also read that the gravitational coupling constant is proportional to the square root of G, and since in a 4d theory, G has mass dimension -2 (can see from an Einstein Hilbert action), the coupling will have dimension -1 and this is the reason GR can't be renormalised.

My questions are:

1, Which of these are correct?

2, How do we derive the relationship between the coupling and G?

Thanks.