THe Fridge. believe it or not runs on HEAT. there are two heaters. Gas and Electric. if the Electric relay is stuck open as someone up-thread said. If A bug got onto the contacts and sacrificed himself to "Bug" you. (don't laugh folks the reason we call computer glitches is.. The first one was a real biological "Bug" (insect) on a circuit board. I've also cleaned several off power switches in my young life.. Not so many in my older life).
Other options include the famous Screw Loose that many folks seem to feel we .. Opps not that kind of screw. but a Genuine bad connection type screw.
And a bad heat element. (Where the screw is).