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arXiv 1609.05937hep-phhep-latnucl-th
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格点量子色动力学中质子的胶旋和螺旋度

Glue spin and helicity in proton from lattice QCD

Yi-Bo Yang, Raza Sabbir Sufian, Andrei Alexandru, Terrence Draper, Michael J. Glatzmaier, Keh-Fei Liu, Yong Zhao

摘要:

本文报道了核子胶自旋的首次格点量子色动力学计算。晶格计算进行与价重叠费米子2+1味夸克规范配置上的四个晶格间距和四个体积,包括一个合奏的夸克质量的物理值。在$\overline{\text{MS}}$方案中,利用单圈微扰匹配得到库仑规范中的胶旋$S_{G}$.我们发现结果对晶格间距和夸克质量相当不敏感。我们还发现,在$0\leq |\vec{p}| < 1.5$ GeV范围内,$S_G$的质子动量依赖性很弱,在$μ^2=10$ GeV的$^2$的$\overline{\text{MS}}$方案中,在物理π介子质量下,在大动量极限下,它是$S_{G}=0.251(47)(16)$.如果忽略大动量有效理论中的匹配过程,则$S_G$等于高能散射实验中测量的胶螺旋度。

英文摘要:

We report the first lattice QCD calculation of the glue spin in the nucleon. The lattice calculation is carried out with valence overlap fermions on 2+1 flavor DWF gauge configurations on four lattice spacings and four volumes including an ensemble with physical values for the quark masses. The glue spin $S_{G}$ in the Coulomb gauge in the $\overline{\text{MS}}$ scheme is obtained with the 1-loop perturbative matching. We find the results fairly insensitive to lattice spacing and quark masses. We also find that the proton momentum dependence of $S_G$ in the range $0\leq |\vec{p}| < 1.5$ GeV is very mild, and we determine it in the large momentum limit to be $S_{G}=0.251(47)(16)$ at the physical pion mass in the $\overline{\text{MS}}$ scheme at $μ^2=10$ GeV$^2$. If the matching procedure in large momentum effective theory is neglected, $S_G$ is equal to the glue helicity measured in high-energy scattering experiments.

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