Why is the graviton non-renormalizable?

[cuallito]

Okay, I've taken relativistic E&M and the first semester of quantum mech.

Why is the graviton non-renormalizable? As I understand it, renormalization means that you can apply a "weight" to the feynman diagrams of an interaction to make it come out right (is that correct?) Why can you not do this for gravitons?

 

[sheaf]

Okay, I've taken relativistic E&M and the first semester of quantum mech.

Why is the graviton non-renormalizable? As I understand it, renormalization means that you can apply a "weight" to the feynman diagrams of an interaction to make it come out right (is that correct?) Why can you not do this for gravitons?

Here are a couple of introductory papers on renormalisation:
http://arxiv.org/abs/0812.3578"

and

http://arxiv.org/abs/hep-th/0212049"

Part of the renormalization procedure involves adding counterterms to the Lagrangian. The problem with the conventional approach to quantizing gravity, as I understand it, is that the number of counterterms required grows with each order of the perturbation expansion.