Regarding Battlefield 4...
Providing you game at 1080p 2gb should be enough, though you may not have the gpu grunt nor vram required to run x4 AA. For 1440p or higher its looking increasing likely that 2gb will not be sufficient, even with AA disabled. Details might have to be sacrificed at this resolution if these bf4 vram usage benchmarks are accurate.

But in game play the 670 performs similar to 7970, better than a 7950 with x4 MSAA @1080

but as the graph shows neither delivers what most consider acceptable game performance

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