论文标题
$ z_ \ mathrm {s}/z_ \ mathrm {p} $ for $ n_ \ mathrm {f} = 3 $ lattice qcd inschrödinger功能设置
Ward identity determination of $Z_\mathrm{S}/Z_\mathrm{P}$ for $N_\mathrm{f}=3$ lattice QCD in a Schrödinger functional setup
论文作者
论文摘要
我们在带有Wilson Quarks的晶格QCD和$ N_ \ Mathrm {F} \ GEQ 3 $风味的晶格QCD中获得手性病房的身份，在带有Schrödinger功能边界条件的小格位上，消失了小夸克。这些身份将非单词伪尺度密度的轴向变化与标量级别相关联，从而实现了这些运算符的肾效应参数的非扰动确定量表非依赖性比率$ z_ \ mathrm {s}/z__ \ mathrm {p} $。 We obtain results for $N_\mathrm{f}=3$ QCD with tree-level Symanzik-improved gluons and Wilson-Clover quarks, for bare gauge couplings which cover the typical range of large-volume $N_\mathrm{f} = 2+1$ simulations with Wilson fermions at lattice spacings below $0.1\,$fm.我们的结果的精度从0.3 \％到1 \％不等，除了最粗的晶格，其中为2 \％。我们讨论$ z_ \ mathrm {s}/z__ \ mathrm {p} $比率如何用于$ \ mathrm {o}（a）$改进的重命名的夸克质量的非扰动计算。
We derive chiral Ward identities for lattice QCD with Wilson quarks and $N_\mathrm{f} \geq 3$ flavours, on small lattices with Schrödinger functional boundary conditions and vanishingly small quark masses. These identities relate the axial variation of the non-singlet pseudoscalar density to the scalar one, thus enabling the non-perturbative determination of the scale-independent ratio $Z_\mathrm{S}/Z_\mathrm{P}$ of the renormalisation parameters of these operators. We obtain results for $N_\mathrm{f}=3$ QCD with tree-level Symanzik-improved gluons and Wilson-Clover quarks, for bare gauge couplings which cover the typical range of large-volume $N_\mathrm{f} = 2+1$ simulations with Wilson fermions at lattice spacings below $0.1\,$fm. The precision of our results varies from 0.3\% to 1\%, except for the coarsest lattice, where it is 2\%. We discuss how the $Z_\mathrm{S}/Z_\mathrm{P}$ ratio can be used in the non-perturbative calculations of $\mathrm{O}(a)$ improved renormalised quark masses.
