No cap, but a tighter fault line than most states
In Atlanta Oculoplastic Surgery v. Nestlehutt (2010), the Georgia Supreme Court struck down the state's $350,000 medical malpractice noneconomic damages cap as unconstitutional, holding it violated the right to a jury trial by nullifying the jury's own factual findings. No cap applies to ordinary injury claims either.
Georgia's fault rule is stricter than it first appears. Under O.C.G.A. §51-12-33, you recover only if your fault is less than 50%. Many other modified comparative negligence states use a "51% bar," where you still recover something at exactly 50% fault. Georgia doesn't give you that cushion — 50% fault bars recovery completely, the same as 51% would.