2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56112Under very general assumptions we show that Vafa-Witten theorem on vector symmetries in vector-like theories can be extended to some physically relevant gauge theories with non-positive definite integration measure as QCD with a theta-vacuum term.11 pages, no figuresHigh Energy Physics - TheoryHigh Energy Physics - LatticeVector Symmetries and Theta-Vacuumtext