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arXiv · 2001.01524

Calculation of PCAC mass with Wilson fermion using gradient flow

Atsushi Baba·Shinji Ejiri·Kazuyuki Kanaya·Masakiyo Kitazawa·Asobu Suzuki·Hiroshi Suzuki·Yusuke Taniguchi·Takashi Umeda
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Abstract

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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Atsushi Baba, Shinji Ejiri, Kazuyuki Kanaya, Masakiyo Kitazawa, Asobu Suzuki, Hiroshi Suzuki, Yusuke Taniguchi, Takashi Umeda. 2020-01-06. Calculation of PCAC mass with Wilson fermion using gradient flow. https://arxiv.org/abs/2001.01524

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