I can tell you one thing, the servers are just up and running without any problems once you can get in!
I have been online whole day long without any problems and just logged out due to a problem on my end and cannot get back in, my gf has been trying to log in for about 3 hours while I was just in the game without any problems. The servers cannot handle the load of all the people trying to get in but once you can get in there is no problem at all.
So no, the servers are not down and they havent been down for a second whole day long.