Main Question or Discussion Point
Can someone please explain to me why general relativity is not renormalizable? Because from how I understand it, the lagrangian density is just R/G, where R is some complex function that contains 2,3, and 4 point terms of the metric g (which is the quantized field). Since R has mass dimension of 2, and g has mass dimension of 0, this lagrangian is superficially renormalizable. Why is it not?