发表机构
Adelaide University; Bergische Universität Wuppertal; University of Edinburgh; University of Liverpool; Deutsches Elektronen-Synchrotron DESY; Universität Hamburg(阿德莱德大学; 伍珀塔尔大学; 爱丁堡大学; 利物浦大学; 德国电子同步加速器研究所; 汉堡大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文通过格点Feynman-Hellmann方法计算极化Compton振幅,确定Bjorken求和规则,覆盖非微扰与微扰区域,并探讨对更高扭效应及$\alpha_s$评估的影响。
AI 中文摘要
我们通过Feynman-Hellmann方法计算极化前向Compton振幅,从而在格点上确定Bjorken求和规则。我们评估了核子极化结构函数$g_1$的最低矩,计算范围覆盖$0.5\backsimeq Q^2 \backsimeq 8$ GeV$^2$,同时涵盖非微扰和微扰区域。我们将计算得到的矩与Bjorken求和规则进行比较,并讨论了对更高扭效应计算的影响,以及从强子量评估$\alpha_s(Q^2)$以补充唯象学和其他格点方法的含义。
英文摘要
We present a lattice determination of the Bjorken sum rule via a Feynman-Hellmann calculation of the polarised forward Compton amplitude. We evaluate the lowest moment of the nucleon's polarised structure function, $g_1$, which we calculate over the range $0.5\lesssim Q^2 \lesssim 8$ GeV$^2$, covering both non-perturbative and perturbative regions. We compare our calculated moments with the Bjorken sum rule, and discuss implications for the calculation of higher-twist effects, as well as evaluations of $α_s(Q^2)$ from hadronic quantities to complement phenomenological and other lattice methods.
Comments15 pages, 7 figures