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We study the axial U(1)A symmetry of Nf = 2 QCD at finite temperature usingthe Dirac eigenvalue spectrum. The gauge configurations are generated employingthe Mobius domain-wall fermion action on 16^3x8 and 32^3x8 lattices. Thephysical spatial size of these lattices is around 2 fm and 4 fm, respectively,and the simulated temperature is around 200 MeV, which is slightly above thecritical temperature of the chiral phase transition. Although the Mobiusdomain-wall Dirac operator is expected to have a good chiral symmetry and ourdata actually show small values of the residual mass, we observe significantviolation of the Ginsparg-Wilson relation for the low- lying eigenmodes of theMobius domain-wall Dirac operator. Using the reweighting technique, we computethe overlap-Dirac operator spectrum on the same set of configurations and finda significant difference of the spectrum between the two Dirac operators forthe low-lying eigenvalues. The overlap-Dirac spectrum shows a gap from zero,which is insensitive to the spacial volume.

Effects of near-zero Dirac eigenmodes on axial U(1) symmetry at finite temperature