A Study of Lattice Landau Gauge full-QCD

本文从量子CD在红外区域的非微扰动力学出发，对Kugo-Ojima色限制判据、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，将其确定参数的测量作为我们的主题，并获得了其他一些重要的观察结果。Kugo-Ojima色域判据u=-δ^b_a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-线性给出的值比logU小约20%。这一结果与晶格间距a达到二阶时，这种差异是由于重整化效应的观点是一致的。如果在红外区幽灵传播子的发散被参数化为Q^&lt；-2(1+κ)&gt；，我们观察到κ[相似或相等]0.2I…在16^4格子的情况下更多。随着晶格尺寸的增大，它有增大的趋势。虽然Log-U和U=线性定义的胶子场导致胶子传播子的整体数值因子的差异，但它导致κ的显著差异，即Ghost传播子中的功率行为，约为3.4.QCD运行耦合α_S原则上可以由胶子场的三点函数和两点函数即胶子传播子得到。在动量大于2GeV/c的区域，结果与Dyson-Schwinger方程的结果一致，而在红外区则观察到统计抵消现象。这取决于胶子传播子是保持有限还是在零动量下消失。由重影、反重影和胶子的三点函数可以得到QCD运行耦合α_S，并且涨落比由三个胶子得到的要小。在动量大于2GeV/c的区域，结果与Dyson-Schwinger方程的结果一致。兹万齐格的视界函数为负，其结果与理论一致。较少

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