1 Questions, 1 Problem. Shut Down
Do you have a crash log?
Should be called ArenaNet.log or Crash.dmp
When you say “the heat did not exceed 40 degrees” I’m guessing you mean Celsius, but my question is, what heat and where? CPU, gpu, internal chassis temp? What exactly are you monitoring? It is possible to still have the system shut down if only one component is overheating. The game will NEVER cause this. However, it still sounds like an overheating issue, otherwise, you need to run a hardware diagnostic since bad hardware can cause these symptoms. Bad ram, bad processor, bad motherboard, or not enough power from your psu can cause this. Dust build up can cause this also, open your system and give it a thorough cleaning around heat sinks and fans.
Do you have any additional components installed (cd drives, input panels for digital sound, etc)? A 700w should power what you have though I think.
Last question, are you having any noticeable lag or frame rate dips prior to the random shut down? Sometimes it presents itself if gpu or CPU are overheating. (I’m lead to believe it’s possibly overheating based on your description of lasting 3 hours on lowest settings)