2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/198446We note that the QCD phases at large finite density respect 't Hooft anomaly matching conditions. Specifically the spectrum of the light excitations possesses the correct quantum numbers required to obey global anomaly constraints. We argue that 't Hooft constraints can be used at finite density along with non perturbative methods to help selecting the correct phase.11 pages, RevTex format, references added. To appear in Phys. Lett. BHigh Energy Physics - PhenomenologyHigh Energy Physics - TheoryNuclear Theorytext