I don't think that CPU is powerful enough to handle either a 7970 or a 670, but I'm not 100% sure. It looks to be roughly as strong as a stock clocked Phenom II x4.
Maybe just overclock it a bit if you're going to pair it with such a powerful GPU.
i got 5086 for passmak , tht's about equal to ph II X4 970.
and i thougt tht at 1080p the cpu is never bottleneck(a 4 core.)?
oh, it's overclocked to 3.5ghz