2017 February 13
2017 March 24
We calculate the vector and axial-vector current correlators in the coordinate space and compare them with the experimental information obtained through the spectral functions of hadronic $¥tau$ decays measured by ALEPH. Lattice data are obtained with 2+1 M¥"obius domain-wall fermions at three lattice spacings 0.044, 0.055 and 0.080 fm and the continuum limit is taken. The correlators calculated on the lattice after extrapolating to the physical point agree with those converted from the ALEPH data.