You owe it to yourself to leave - you absolutely owe it to your daughter.

She needs a mum who puts her first, not a boyfriend, she needs a mum who is not a bag of nerves or seriously injured or even worse dead because said boyfriend can't handle drink without hurting her. You are her role model, what if she learns that this is acceptable in relationships? What if she grows up to pick the same type of men?

If you can't get away for yourself (possibly because you don't value yourself) then do it for your girl.