CraigN may be right about this. I know on my PS3 I used a HDMI to DVI cable to run video to my computer monitor. As for my PS4 I'm not sure if this is possible since I have not tried. You would then need to be using surround sound via optical or just the PS4 headset to push audio out to you.
did you get the 144hz with the HDMI TO DVI cord? or was it still 60?