I dont know what planet the other people who answered are on. There is a law that requires you to carry a drivers license with you. As such you can get a ticket for not having it. Most officer will let you slide if you have a valid license, but its not with you. In my state, at least, anything is arrestable, but the only way youd end up on jail is if you dont sign the citation. Most states its a small fine, and some its even correctable (ie you just have to show it at court or a police station and pay a small court processing fee).
Im a police officer