Aight lets clear this up, because there is a LOT of wrong information in this thread
To answer the original question: a professional does not carry a handicap. A handicap is designed to even the playingfield among amateurs, something that is not needed among professionals.
Just because you carry a handicap of 0 doesnt mean you have the stuff to be a professional either.
Oh and one other thing: Your typical golf handicap actually carries a negative number. Example: Bob just started playing a year ago and now has a handicap of -36. The sign is generally omitted for negative, and carried for positive. Example: John is playing great golf this year, shooting under par consistently. His handicap reflects this, as he now carries a handicap of +1.2.
EDIT: Well, guess i should have taken the time to read Dodoubled's post :P nonetheless, info stands.