论文标题
$ \ mathrm {o}（a）$改进的矢量电流在三频晶格QCD中，带有威尔逊夸克
The renormalised $\mathrm{O}(a)$ improved vector current in three-flavour lattice QCD with Wilson quarks
论文作者
论文摘要
We present the results of a non-perturbative determination of the improvement coefficient $c_\mathrm{V}$ and the renormalisation factor $Z_\mathrm{V}$, which define the renormalised vector current in three-flavour $\mathrm{O}(a)$ improved lattice QCD with Wilson quarks and tree-level Symanzik-improved gauge 行动。在改进系数的情况下，我们考虑了对矢量电流，局部和保守（即点分）的晶格描述。我们的改进和归一化条件是基于巨大的手性病房身份，并在Schrödinger功能设置中进行了数值评估，该设置允许以受控的方式消除有限的夸克质量效应。 In order to ensure a smooth dependence of the renormalisation constant and improvement coefficients on the bare gauge coupling, our computation proceeds along a line of constant physics, covering the typical range of lattice spacings $0.04\,\mathrm{fm}\lesssim a\lesssim 0.1\,\mathrm{fm}$ that is useful for phenomenological applications.特别是对于局部向量电流的改进系数，我们报告了一环扰动估计与我们的非扰动结果之间的显着差异。
We present the results of a non-perturbative determination of the improvement coefficient $c_\mathrm{V}$ and the renormalisation factor $Z_\mathrm{V}$, which define the renormalised vector current in three-flavour $\mathrm{O}(a)$ improved lattice QCD with Wilson quarks and tree-level Symanzik-improved gauge action. In case of the improvement coefficient, we consider both lattice descriptions of the vector current, the local as well as the conserved (i.e., point-split) one. Our improvement and normalisation conditions are based on massive chiral Ward identities and numerically evaluated in the Schrödinger functional setup, which allows to eliminate finite quark mass effects in a controlled way. In order to ensure a smooth dependence of the renormalisation constant and improvement coefficients on the bare gauge coupling, our computation proceeds along a line of constant physics, covering the typical range of lattice spacings $0.04\,\mathrm{fm}\lesssim a\lesssim 0.1\,\mathrm{fm}$ that is useful for phenomenological applications. Especially for the improvement coefficient of the local vector current, we report significant differences between the one-loop perturbative estimates and our non-perturbative results.
