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## Main Question or Discussion Point

Quick question:

What does it mean that this has "four powers of q in the numerator and two in the denominator"? Apparently, this diverges quadratically at large q and has an infra-red divergence as q→0 (I'm not concerned about the second one all that much though).

I mean, simply looking at a comparison of powers, since the integration is over all of q, it's feels like they get this result by just saying we have 4/2=2 on top. . .but that's not really legitimate.

[itex] g\int \frac{d^4 q}{\left(2\pi\right)^4}\frac{1}{q^2-m^2}[/itex]

Thanks for any help! I don't doubt the divergence, but I'm just not sure what is meant by it ^^; in one dimension, I know that it blows up at q=±m, I'm just not sure what implications this has on the divergence in d

What does it mean that this has "four powers of q in the numerator and two in the denominator"? Apparently, this diverges quadratically at large q and has an infra-red divergence as q→0 (I'm not concerned about the second one all that much though).

I mean, simply looking at a comparison of powers, since the integration is over all of q, it's feels like they get this result by just saying we have 4/2=2 on top. . .but that's not really legitimate.

[itex] g\int \frac{d^4 q}{\left(2\pi\right)^4}\frac{1}{q^2-m^2}[/itex]

Thanks for any help! I don't doubt the divergence, but I'm just not sure what is meant by it ^^; in one dimension, I know that it blows up at q=±m, I'm just not sure what implications this has on the divergence in d

^{4}q