Will mac mini late 2012 runs Battlefield 4?

I don't think so.

 

http://www.notebookcheck.net/Intel-HD-Graphics-4000.69168.0.html

 

Low meaning ancient 1024x768 resolution with all settings on low or turned off.

From that same link:

So, are those 32 frames per second enjoyable? That's the real question.

Maybe it could hit that in commander mode, but I doubt it could handle a decent size multiplayer match without looking like a slide show and getting yourself killed every 15 seconds.

 

Nope.

 

And that site measures it on Windows. Same game on OSX: devide framerate by 2.