A Study of Lattice Landau Gauge full-QCD

从红外区域的非摄动动力学角度，对QCD的Kugo-Ojima色约束判据、胶子传播子、幽灵传播子、Zwanziger视界函数和运行耦合α_s进行了数值研究。鉴于Kugo-Ojima约束准则的重要性，我们改变了原来的研究计划，将其对确认参数的测量作为我们的主题，并获得了其他一些重要的观测结果如下。Kugo-Ojima色约束准则u=-δ^b_a并不完全满足，但约为u=-0.7δ^b_a.2。胶子传播子的绝对值取决于规范场的定义，即u -linear给出的值比logU小约20%。这一结果与在晶格间距为a的二阶范围内，差异是由重整化效应引起的观点一致。如果将红外区幽灵传播子的散度参数化为q^<-2(1+κ)>，则在16^4晶格的情况下，我们观察到κ【相似或等于】0.2 i…More。随着晶格尺寸的增大，它有增大的趋势。虽然胶子场的log -U和U=线性定义导致胶子传播子中的总体数值因子的差异，但它导致κ（即幽灵传播子中的功率行为）的显着差异约为3.4倍。原则上可以由胶子场的三点函数和胶子传播子的两点函数求得QCD运行耦合α_s。在动量大于2GeV/c的区域，结果与Dyson-Schwinger方程一致，而在红外区域，则观察到统计抵消。它取决于胶子传播子是保持有限还是在零动量中消失。从鬼、反鬼和胶子的三点函数中可以得到QCD运行耦合α_s，且波动比从三个胶子得到的小。在动量大于2GeV/c的区域，结果与Dyson-Schwinger方程一致。兹万齐格视界函数为负，结果与理论一致。少

We performed numerical studies of the Kugo-Ojima color confinement criterion, gluon propagator, ghost propagator, Zwanziger's horizon function and the running coupling α_s, in terms of non-perturbative dynamics of QCD in infrared region. In view of importance of Kugo-Ojima confinement criterion, we changed the original research plan and considered its measurement of the confimenment parameter as our main theme, and obtained some other important observations as follows.1. The Kugo-Ojima color confinement criterion u=-δ^b_a is not perfectly satisfied but it is about u=-0.7δ^b_a.2. The absolute value of the gluon propagator depends on the definition of the gauge field i.e.U-linear gives a smaller value than logU by about 20%. This result agrees with the idea that up to second order in lattice spacing a, the difference is due to the renormalization effect.3. If the divergence of the ghost propagator in the infrared region is parameterised as q^<-2(1+κ)>, we observe κ【similar or equal】0.2 i … More n the case of 16^4 lattice. It has the increasing tendency as the lattice size increases. While the log -U and U=linear definition of the gluon field leads to a difference in the overall numerical factor in the gluon propagator, it leads to a significant difference in κ, i.e.the power behavior in the ghost propagator, by about a factor of 3.4. The QCD running coupling α_s can be in principle obtained from the three point function of the gluon fields and the two point function i.e.gluon propagator. In the region of momentum larger than 2GeV/c, the result is consistent with that of Dyson-Schwinger equation, while in the infrared region, statistical cancellation is observed. It depends on whether the gluon propagator remains finite or vanishes in the zero momentum.5. It is possible to obtain the QCD running coupling α_s from the three point function of ghost, anti-ghost and gluon and the fluctuation is smaller than that obtained from the three gluons. In the region of momentum larger than 2GeV/c, the result is consistent with that of Dyson-Schwinger equation.6. The Zwanziger's horizon function is negative and the result is consistent with the theory. Less