论文标题
新的Abelian样单孔和双重Meissner效应
New Abelian-like monopoles and the dual Meissner effect
论文作者
论文摘要
违反非亚伯bianchi身份可以被视为$ n^2-1 $ $ n^2-1 $ abelian样的单子电流(n)QCD。在SU(2)晶格上定义的三个Abelian样单子孔在晶格上定义时,显示出相对于有效的单极密度和有效的单极作用,显示出具有连续性极限。由于每个类似Abelian的单子都不是规格不变的,因此我们引入了各种部分尺寸固定,目的是减少热化真空中的晶状体伪影单极。在这里,我们研究了Abelian和Monopole的主导地位,以及与最大的Abelian Gauge(MAG)相比,采用相同的量表,如最大中心量表(MCG)。观察到对这些仪表中的弦张力的ABELIAN和单子贡献比非阿贝尔弦张力小一点。但是,我们发现,当使用块状旋转转换相对于阿伯利亚样单子,单极优势得到很好的提高。我们发现每个电场都被这样的仪表中相应的彩色阿贝尔样单子挤压,并且每种颜色都独立观察到Abelian Dual Meissner效应。此外,我们在这些新仪表和MAG中确认了双重安培定律。 SU(2)真空显示在1型和2型双重导体之间的边界附近。对于四个量规固定,渗透长度几乎相等,MCG中的真空类型几乎与以前的结果相同。这些结果与先前的结果一致,表明连续限制和量规独立于Abelian单孔。
Violation of non-Abelian Bianchi identity can be regarded as $N^2-1$ Abelian-like monopole currents in the continuum SU(N) QCD. Three Abelian-like monopoles, when defined in SU(2) gluodynamics on the lattice à la DeGrand-Toussaint, are shown to have the continuum limit with respect to the color-invariant monopole density and the effective monopole action. Since each Abelian-like monopole is not gauge invariant, we have introduced various partial gauge fixing for the purpose of reducing lattice artifact monopoles in the thermalized vacuum. Here we investigate Abelian and monopole dominances and the Abelian dual Meissner effects adopting the same gauges like the maximal center gauge (MCG) in comparison with the maximal Abelian gauge (MAG). Abelian and monopole contributions to the string tension in these gauges are observed to be a little smaller than the non-Abelian string tension. However, we find that the monopole dominance is improved well when use is made of the block-spin transformations with respect to Abelian-like monopoles. We find each electric field is squeezed by the corresponding colored Abelian-like monopole in such gauges and the Abelian dual Meissner effect is observed independently for each color. Moreover, we confirm the dual Ampère's law in these new gauges as well as in MAG. The SU(2) vacuum is shown to be near the border between the type 1 and type 2 dual superconductors. The penetration length is almost equal for the four gauge fixings and the vacuum type in MCG is almost the same value as the previous results. These results are consistent with the previous results suggesting the continuum limit and the gauge-independence of Abelian monopoles.