doi:10.1103/PhysRevD.96.014505engAzcoiti, VicenteTopology in the SU (Nf) chiral symmetry restored phase of unquenched QCD and axion cosmology. II.ART-2017-100945We investigate the physical consequences of the survival of the effects of the U(1)A anomaly in the chiral symmetric phase of QCD, and show that the free energy density is a singular function of the quark mass m, in the chiral limit, and that the s and p- susceptibilities diverge in this limit at any T=Tc. We also show that the difference between the p- and d- susceptibilities diverges in the chiral limit at any T=Tc, a result which seems to be excluded by recent results of Tomiya et al. from numerical simulations of two-flavor QCD. We also discuss on the generalization of these results to the Nf=3 model.2017http://zaguan.unizar.es/record/6198610.1103/PhysRevD.96.014505http://zaguan.unizar.es/record/61986oai:zaguan.unizar.es:61986info:eu-repo/grantAgreement/ES/MINECO/FPA2015-65745-PPHYSICAL REVIEW D 96, 1 (2017), 0145051-0145056All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/openAccess