What is the white film on my wet carrots?
Even though the surface may be wet, that white stuff is dehydration. It's the cells that are drying on the inside, not the surface of the carrot. It's referred to as "blushing", and it is harmless. Baby carrots are adult carrots that have been cut and polished. That polishing removes the very outer surface, making the baby carrots more susceptible to blushing than full sized carrots.

See related article here.

EDIT: I should have mentioned, soak the carrots in ice water for an hour right before you use them. That will temporarily get rid of most of the discoloration.

This is what the carrots look like when they are dehydrated: