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arXiv · 1411.6726

Non-perturbative renormalization of bilinear operators with M\"obius domain-wall fermions in the coordinate space

M. Tomii·G. Cossu·S. Hashimoto·J. Noaki
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Abstract

We study the non-perturbative determination of the renormalization constants of flavor non-singlet quark bilinear operators on the lattice. The renormalization condition is imposed on correlation functions of bilinear operators in the coordinate space. The results are converted to the value at 2 GeV in the $\rm\overline{MS}$ scheme by a perturbative matching. The calculation is carried out on gauge configurations generated with the Mobius domain-wall fermions at two lattice spacings $a^{-1} = 2.4$ GeV and $a^{-1} = 3.6$ GeV.

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M. Tomii, G. Cossu, S. Hashimoto, J. Noaki. 2014-11-25. Non-perturbative renormalization of bilinear operators with M\"obius domain-wall fermions in the coordinate space. https://arxiv.org/abs/1411.6726

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