Dusty_Matter said:
Thank you for trying to explain it to me blechman. Most of this over my head but I'm trying to understand. Please bear with me. Let me see if I've got this.
sorry, maybe I'm talking too fast. feel free to slow me down at any time!
A spin 2 field basically means the same thing as gravitational field, so a graviton is said to be a spin 2 particle.
I might have opened a Pandora's Box with that last post. If it confused you, then forget about it. The point to remember is that when we say "spin" we are talking about how a field behaves under rotations. The graviton, being described as a perturbation to the metric, behaves as a "massless spin-2" excitation. This is not difficult to show, just apply the usual "Theory of Angular Momentum" to a symmetric tensor field. It's a graduate QM problem.
The stuff I said before was just that there turns out to be only ONE "massless spin-2" theory that is consistent with things like Lorentz invariance and the existence of an S matrix. But that's just an amusing side note.
Now the Higgs particle interacts only with particles having mass, so it doesn't interact with say photons. The graviton interacts with all particles including the Higgs. It is possible however that the graviton may be massless however because the Higgs does not interact with the graviton?
the graviton must be massless since gravity obeys a \frac{1}{r^2} force law. If the graviton had a mass, then this would not happen. Also, graviton masses cause damage to the Principle of Equivalence, a big no-no. Of course, as always, there are ways around this, but sticking to the MINIMAL theory, gravitons are massless, and spin-2.
The Higgs interacts with the graviton (since the graviton interacts with the higgs, and "interact" is a symmetric relation!), however, the Higgs does not give mass to the graviton. I'm not sure of a words-only way of justifying this, but to the extent that I can appeal to authority, I can tell you that it just doesn't. If you don't believe me (and I hope you don't!) you should study this and convince yourself, but perhaps you should finish your QFT course first!
I am not saying that their is no quantum theory of gravity. I am saying is only what I've heard: that quantum gravity and relativistic gravity cannot be reconciled into one coherent theorem mathematically. What I am asking, is that, is it possible that one of the theories is wrong? Could quantized gravity be wrong? We know that relativistic gravity is right. Might there be no such thing as a graviton? There is no proof that gravity is quantized is there?
I certainly wasn't accusing you of anything!

It is certainly true that if you take the "naive" theory of quantum gravity (think E&M: quantize the classical fields and see what happens), then you find that the theory does not make sense. It is not renormalizable, and it breaks down at high energies. Not only that, but there is a funny thing going on with gravity, since in order to define a quantum theory you have to define a TIME, and since TIME is now a dynamical field in your gravity theory (part of that evolving spacetime manifold) then how do you define "equal time commutation relations" that you need to define a quantum field theory?! You see, something deep down is flawed with the picture.
That being said, once again, as long as you restrict yourself to weak fields and low energies, you can do okay. But of course, such "weak fields" are WEAK - 10^{-39} the strength of QED, so while you might be able to calculate something, you'd never be able to see it in an experiment!
You say, "We know that relativistic gravity is right." Is that really so? I mean, REALLY? We think it's right. But keep in mind that QM has passed EVERY test known to us, so are you really justified in just throwing it out? In fact, QM has been justified to MUCH higher precision than GR! Why are you so anxious to accept a less-tested theory over a more-tested one?
I don't know, maybe. I guess you have to decide for yourself. The simple calculations that make sense, like single tree-level graviton exchange, give you things like the Newton potential, so it seems that you might be on the right track. But really, no one knows what goes on at the quantum level right next to a black hole singularity. And probably, we never will...
Deep questions. Who knows what the answers are...