arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2001.01524hep-lat
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用梯度流计算Wilson费米子的PCAC质量

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

摘要:

我们计算了含有Wilson型夸克的$(2+1)$味全QCD的PCAC质量。我们采用了基于梯度流的小流时间扩展(SFtX)方法,该方法为我们提供了一种通用的方法来正确计算重整化的观测量,即使观测量的相关对称性由于晶格正则化而被显式地破坏,如Poincáre对称性和手征对称性。计算了重$u, d$夸克质量($m_π/m_ρ\simeq0.63$)和近似物理的精细格点$s$夸克质量$a \simeq 0.07$ ~fm。结果与薛定谔泛函方法计算的结果进行了比较。

英文摘要:

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 Poincáre and chiral symmetries. Our calculation is performed on heavy $u, d$ quarks mass ($m_π/m_ρ\simeq0.63$) and approximately physical $s$ quark mass with fine lattice $a \simeq 0.07$~fm. The results are compared with those computed with the Schrödinger functional method.

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