Dimensional reduction in finite-temperature quantum chromodynamics. II

The reduction of four-dimensional quantum chromodynamics at finite temperature and chemical potential to an infrared-effective three-dimensional theory is further investigated. The effective couplings are calculated in the manner prescribed by a previously discussed program of quantum dimensional reduction, demonstrating its internal consistency and completing the specification of the effective action. The latter provides a starting point for nonperturbative studies of the infrared behavior of high-temperature quark-gluon plasmas.