Whether faith is required of necessity in the minister of a sacrament?

Objections

Objection 1 : It seems that faith is required of necessity in the minister of a sacrament. For, as stated above (Article [8]), the intention of the minister is necessary for the validity of a sacrament. But "faith directs in intention" as Augustine says against Julian (In Psalm xxxi, cf. Contra Julian iv). Therefore, if the minister is without the true faith, the sacrament is invalid.
Objection 2 : Further, if a minister of the Church has not the true faith, it seems that he is a heretic. But heretics, seemingly, cannot confer sacraments. For Cyprian says in an epistle against heretics (lxxiii): "Everything whatsoever heretics do, is carnal, void and counterfeit, so that nothing that they do should receive our approval." And Pope Leo says in his epistle to Leo Augustus (clvi): "It is a matter of notoriety that the light of all the heavenly sacraments is extinguished in the see of Alexandria, by an act of dire and senseless cruelty. The sacrifice is no longer offered, the chrism is no longer consecrated, all the mysteries of religion have fled at the touch of the parricide hands of ungodly men." Therefore a sacrament requires of necessity that the minister should have the true faith.
Objection 3 : Further, those who have not the true faith seem to be separated from the Church by excommunication: for it is written in the second canonical epistle of John (10): "If any man come to you, and bring not this doctrine, receive him not into the house, nor say to him; God speed you": and (Titus 3:10): "A man that is a heretic, after the first and second admonition avoid." But it seems that an excommunicate cannot confer a sacrament of the Church: since he is separated from the Church, to whose ministry the dispensation of the sacraments belongs. Therefore a sacrament requires of necessity that the minister should have the true faith.