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A Study of Lattice Landau Gauge full-QCD

格子Landau规范全QCD的研究

基本信息

批准号：
11640251
负责人：
NAKAJIMA Hideo
金额：
$ 0.83万
依托单位：
Utsunomiya University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1999
资助国家：
日本
起止时间：
1999 至 2000
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11640251/
关键词：
QCD Landau gauge simulation 格子QCD ランダウゲージ

项目摘要

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

本文利用QCD在红外区的非微扰动力学，对Kugo-Ojima色禁闭判据、胶子传播子、鬼传播子、Zwanziger视界函数和运行耦合α_s进行了数值研究。考虑到Kugo-Ojima约束准则的重要性，我们改变了原来的研究计划，将其置信度参数的测量作为我们的主要研究内容，并得到了如下重要的结果. Kugo-Ojima色限判据u=-δ^B_a并不完全满足，但约为u=-0.7 ^b_a。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%。这一结果与以下观点一致：在晶格间距a的二阶以下，这种差异是由于重整化效应造成的.如果在红外区域鬼传播子的发散被参数化为q^<-2（1 +κ）>，我们观察到κ[相似或相等]0.2 i ...更多信息 n为16^4点阵。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数值因子的差异，但它导致κ的显著差异，即鬼传播子中的幂行为，约为3.4倍。QCD运行耦合α_s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。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，观察到统计相消。这取决于胶子传播子在零动量下是保持有限还是消失。由鬼、反鬼和胶子三点函数可以得到QCD运行耦合α_s，其涨落比由三胶子得到的小。在动量大于2GeV/c的区域，结果与Dyson-Schwinger方程一致. Zwanziger的视界函数为负，这一结果与理论一致。少