Diablo 3 was released on the May 15 and the server administrator has had a rough couple of days. This much trouble was not expected.
We sincerely regret that your crusade to bring down the Lord of Terror was thwarted not by mobs of demons, but by mortal infrastructure.
The servers cold not handle the enormous pressure when people around the world started to login. Blizzard now apologizes that they did not prepare enough before the release.
As of late last night, specifically 11:50 PM PDT on May 15, all systems have been online and running relatively smoothly.
The problem with the servers has pushed back the release of the real money auction house to an unspecified date.
Source: Battle.net