Game Causes System To Shut Off After ~10 Minutes

I started playing again yesterday, after taking a break from launch. It worked completely fine during launch and beta, never any crashing problems.

Now, consistently around 10 minutes after I log into my character, my screens blink black, comes back for 5 seconds, then shuts off everything (video, sound). There is nothing to do other than a hard reset. 5 tries, and it happens the same way every time.

After monitoring my CPU and GPU temps, neither of them are hot (GPU ~70, CPU ~45-50), and there is nothing strange happening with the CPU clock rates going super high.

This does not happen with ANY other game I play, which is an extremely wide range. Dota 2, CS:GO, LoL, Dark Souls, Emulators, Borderlands 2, Diablo 3, etc etc.

Interestingly, the MOBO's lights are still on and all of the fans are still running.

I have updated my GPU drivers, and both the before and after have this issue.

Any ideas? The PSU sounds like the most likely culprit, if FF14 has a way of pulling a lot of power. RAM doesn't seem likely, as no other game has issues, nor does having crazy amounts of programs/processes going on at once.

Specs:
XFX 7970 Black Edition
i5-3570k
16gigs of RAM

Any error messages in your Event Viewer?