If a global symmetry is anomalous, classically it is still possible to talk about spontaneous breakdown of that symmetry. In particle physics, do we have such an anomalous symmetry (or symmetries) which spontaneously breaks down and gives rise to pseudo Nambu-Goldstone bosons (pNGbs)?
I know that spontaneous breakdown of approximate global symmetries (i.e., those which are weakly broken explicitly but not quantum mechanically) give rise to pNGbs whose classic example are pions. I am not sure whether breakdown of anomalous symmetries would also produce pNGbs.