Where do I go to take out an abondnment warrant on my child's father, I live in Dekalb County GA and he lives in Tenn.

This is not a question about raising children but it is a legal question. I have asked that it be moved.

I don't know what an abandonment warrant is (unless he truly left your child without food and shelter and no supervision, which would be a matter for the Police to handle) but have you read this? https://www.askmehelpdesk.com/family-law/child-abandonment-read-first-364259.html

In GA the abandonment law is merely failure to pay child support,

So have you discussed this with Georgias child support enforcement department ?

Have you taken him back to court for non payment ?