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Modulo the scale of spontaneous breaking of Peccei-Quinn symmetry, the axionmass $m_a(T)$ is given by the QCD topological susceptibility ${\chi}(T)$ at alltemperatures $T$. From an approach tying the $U_A(1)$ and chiral symmetrybreaking and getting good $T$-dependence of ${\eta}$ and ${\eta}$ mesons, weget ${\chi}(T)$ for an effective Dyson-Schwinger model of nonperturbative QCD.Comparison with lattice results for ${\chi}(T)$, and thus also for $m_a(T)$,shows good agreement for temperatures ranging from zero up to the double of thechiral restoration temperature $T_c$.

T-dependence of the axion mass when the U_A(1) and chiral symmetry breaking are tied