论文标题
$ n_f = 2+1 $ qcd带威尔逊·费米斯（Wilson Fermions）
Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions
论文作者
论文摘要
我们确定了由协调晶格模拟（CLS）努力产生的合奏的轻子频谱，采用$ n_f = 2+1 $的非扰动改进的威尔逊·费米昂（Wilson Fermions）。用三个不同的轨迹在夸克质量平面内插值并推断出强子质量，其中两个相交接近物理夸克质量点，而第三个接近SU（3）手性极限的轨迹。将结果推算为连续限制，利用六个不同的晶格间距，范围从$ a \ a \大约0.10 \，$ fm降至$ 0.04 \，$ fm。灯光质量从$M_π\ \ 429 \，$ MEV降低到$ 127 \，$ MEV。总的来说，空间范围的数量大于反向脉冲质量的四倍，大于$ 2.3 \，$ fm，并具有额外的小和大容量集合，以研究有限的尺寸效果。我们确定Wilson Flow缩放$ \ SQRT {T_ {0，{\ rm ph}}} = 0.1449^{（7）} _ {（9）} \，$ fm和$ t_0^*\ oft T_ {0，{\ rm ph}}在连续限制中确定光baryon频谱，我们发现核子质量$ m_n = 941.7^{（6.5）} _ {（7.6）} \，$ MEV，$ MEV和其他稳定的Baryon群众，以在次级不认定中同意其实验值。此外，我们确定SU（3）和SU（2）手性扰动理论低能量常数，包括八位位和$ω$ baryon sigma〜项$σ_{πn} = 43.9（4.7）\，$ MEV，$ qU，$σ_ $σ_{πς} = 25.9^{（3.8）} _ {（6.1）} \，$ mev，$σ_{π了π了11.2^{（4.5）} _ {（6.4）} _ {（6.4）} \，$ mev and $σ_{πΩ} = 6.9^{（5.3）} _ {（4.3）} \，$ MEV，以及各种参数，重新归一化因子和改进系数，这些系数与与我们的lattice动作相关的模拟相关。
We determine the light baryon spectrum on ensembles generated by the Coordinated Lattice Simulations (CLS) effort, employing $N_f=2+1$ flavours of non-perturbatively improved Wilson fermions. The hadron masses are interpolated and extrapolated within the quark mass plane, utilizing three distinct trajectories, two of which intersect close to the physical quark mass point and the third one approaching the SU(3) chiral limit. The results are extrapolated to the continuum limit, utilizing six different lattice spacings ranging from $a\approx 0.10\,$fm down to below $0.04\,$fm. The light pion mass varies from $M_π\approx 429\,$MeV down to $127\,$MeV. In general, the spatial extent is kept larger than four times the inverse pion mass and larger than $2.3\,$fm, with additional small and large volume ensembles to investigate finite size effects. We determine the Wilson flow scales $\sqrt{t_{0,{\rm ph}}}=0.1449^{(7)}_{(9)}\,$fm and $t_0^*\approx t_{0,{\rm ph}}$ from the octet cascade ($Ξ$ baryon). Determining the light baryon spectrum in the continuum limit, we find the nucleon mass $m_N=941.7^{(6.5)}_{(7.6)}\,$MeV and the other stable baryon masses to agree with their experimental values within sub-percent level uncertainties. Moreover, we determine SU(3) and SU(2) chiral perturbation theory low energy constants, including the octet and the $Ω$ baryon sigma~terms $σ_{πN}=43.9(4.7)\,$MeV, $σ_{πΛ}=28.2^{(4.3)}_{(5.4)}\,$MeV, $σ_{πΣ}=25.9^{(3.8)}_{(6.1)}\,$MeV, $σ_{πΞ}=11.2^{(4.5)}_{(6.4)}\,$MeV and $σ_{πΩ}=6.9^{(5.3)}_{(4.3)}\,$MeV, as well as various parameters, renormalization factors and improvement coefficients that are relevant for simulations with our lattice action.
