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T-Dependence of the Axion Mass when the U_A(1) and Chiral Symmetry Breaking are Tied

Modulo the scale of spontaneous breaking of Peccei-Quinn symmetry, the axion mass m_a(T) is given by the QCD topological susceptibility χ(T) at all temperatures T. From an approach tying the U_A(1) and chiral symmetry breaking and getting good T-dependence of η and η' mesons, we get χ(T) for an effective Dyson- Schwinger model of nonperturbative QCD. Comparison with lattice results for χ(T), and thus also for m_a(T), shows good agreement for temperatures ranging from zero up to the double of the chiral restoration temperature T_c.

axion mass axial U(1) chiral SU(3) QCD symmetry breaking temperature dependence

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