Calculation of PCAC mass with Wilson fermion using gradient flow
We calculate the PCAC mass for $(2+1)$ flavor full QCD with Wilson-type quarks. We adopt the Small Flow-time eXpansion (SFtX) method based on the gradient flow which provides us a general way to compute correctly renormalized observables even if the relevant symmetries for the observable are broken...
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Zusammenfassung: | We calculate the PCAC mass for $(2+1)$ flavor full QCD with Wilson-type
quarks. We adopt the Small Flow-time eXpansion (SFtX) method based on the
gradient flow which provides us a general way to compute correctly renormalized
observables even if the relevant symmetries for the observable are broken
explicitly due to the lattice regularization, such as the Poinc\'{a}re and
chiral symmetries. Our calculation is performed on heavy $u, d$ quarks mass
($m_{\pi}/m_{\rho}\simeq0.63$) and approximately physical $s$ quark mass with
fine lattice $a \simeq 0.07$~fm. The results are compared with those computed
with the Schr\"odinger functional method. |
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DOI: | 10.48550/arxiv.2001.01524 |