I have a simular problem occur it seem to be related to the newest nvidia driver updates. are you using nvidia? anyways what i found when this happens is as you i could still hear the audio. for me the fix is to unplug my HDMI cord from the back of my computer and plug it back in. suddenly the screen is there again. i dunno if this will help you, but it work for me. it seems like the display port changes a setting and then the screen goes blank or black till you unplug and plug it in so the graphics card can auto detect plug and play again.
First, thanks for answering.
Yes I use NVidia, but I haven't downloaded the newest drivers yet, because I heard some people having troubles with them, although I will try them out.
And I will try to replug the cable, didn't think about that
