I took mine in to a VZW store and showed the guy the problem. He immediately said it wasn't a hardware problem; "That's probably just how the screen is." Well, I told him I've compared it to a friend's phone (a lie) and that their screen was flawless. He just said "Hmm, well I don't think it's a hardware problem with the screen." I started to get annoyed, so I asked him if they had any models in the store to compare it to. We compared it to a GNex that another one of the reps owned and the results were like night & day. The second rep then finally started to chime in saying "Oh yeah, you definitely have a defective phone. Mine is perfect." I wanted to say "Thanks, jacka$$, for hearing my whole argument with the first guy and not saying anything until now."
Anyways, with that info, the guys at the store wouldn't swap it. They were lazy and told me to call VZW phone support. So I did that. The guy on the phone was super nice and set up the order to get a replacement with no difficulties. I think in my case that I just got a bunch of lazy guys at the store who didn't want to do any work. Try another store, or call *611, and be persistent and you shouldn't have a problem.