论文标题

来自物理夸克的晶格QCD的核子等异位张量张量

Nucleon isovector tensor charge from lattice QCD with physical light quarks

论文作者

Tsuji, Ryutaro, Aoki, Yasumichi, Ishikawa, Ken-Ichi, Kuramashi, Yoshinobu, Sasaki, Shoichi, Shintani, Eigo, Yamazaki, Takeshi

论文摘要

我们提供了用物理光夸克($m_π= 135 $ MEV)测量的核子的轴向,标量和张量电荷的初步结果。我们的模拟是通过PACS合作与Stout-Meared $ O(a)$改进的Wilson Fermions和Iwasaki Gauge Action生成的量规配置进行的。 PACS量规配置有两个晶格集合,它们的物理晶格大小超过$(10 \ \ mathrm {fm})^4 $和$(5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ mathrm {fm})^4 $。我们计算轴向,标量和张量通道中的核子三分相关功能。对于重新归一化,我们将罗马 - 南安普敦方法用作中间方案,以便以完全非扰动的方式评估标量和张量电流的重新归化常数。然后,我们在$ \ overline {\ rm MS} $方案中评估标量和张量费用($ g_s $和$ g_t $)的重新归一化值($ g_s $ and $ g_t $),并在2 GEV的重归于2 GEV的范围内,借助连续扰动理论,用于两种方案之间的匹配。我们将$ g_s $和$ g_t $的初步结果与其他协作结果进行比较。

We present preliminary results for the axial, scalar and tensor charges of the nucleon measured in 2+1 flavor QCD with the physical light quarks ($m_π=135$ MeV). Our simulations are carried out with gauge configurations generated by the PACS Collaboration with the stout-smeared $O(a)$ improved Wilson fermions and Iwasaki gauge action at a single lattice spacing of $0.085\ (\mathrm{fm})$. There are two lattice ensembles of the PACS gauge configurations, which have physical lattice sizes over $(10\ \mathrm{fm})^4$ and $(5\ \mathrm{fm})^4$, respectively. We compute the nucleon three-point correlation functions in the axial, scalar, and tensor channels. For the renormalization, we use the Rome-Southampton method as the intermediate scheme in order to evaluate the renormalization constants for the scalar and tensor currents in fully nonperturbative manner. We then evaluate the renormalized values of the scalar and tensor charges ($g_S$ and $g_T$) in the $\overline{\rm MS}$ scheme at the renormalization scale of 2 GeV with a help of the continuum perturbation theory for the matching between two schemes. We compare our preliminary results of $g_S$ and $g_T$ with those of other collaboration results.

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