2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227996We show the presence of non-cyclic phases for oscillating neutrinos in the context of quantum field theory. Such phases carry information about the non-perturbative vacuum structure associated with the field mixing. By subtracting the condensate contribution of the flavor vacuum, the previously studied quantum mechanics geometric phase is recovered.High Energy Physics - Theorytext