| SU(3)规范场的恰当形式(欧空间) |
| |
| 引用本文： | 石赫.SU(3)规范场的恰当形式(欧空间)[J].数学学报,2008,51(5):833-840. |
| |
| 作者姓名： | 石赫 |
| |
| 作者单位： | 中国科学院数学机械化重点实验室 |
| |
| 摘 要： | 应用数学机械化方法讨论SU(3)规范场的规范化问题.首先提出一种具有明确几何意义的Yang-Mills方程,称其为恰当的Yang-Mills方程.然后构造了一类线性微分变换,称之为SU(3)规范场的示性变换,它具体给出联络和截面之间的微分关系.经由示性变换,将非线性的恰当的YM-方程变为一组线性Laplace方程,即实现了规范场YM-方程的线性化.从而证明了SU(3)规范场包括8个独立的Yang-Mills规范场.
|
| 关 键 词： | 数学机械化 SU(3)规范场 恰当的Yang-Mills方程 示性变换 |
| 收稿时间： | 2006-3-27 |
The Exact Yang-Mills Gauge Fields of $SU(3)$ in Euclidean Space |
| |
| Institution: | Key Laboratory of Mathematics Mechanization,
Academy of Mathematics and Systems Science,\Chinese Academy of Sciences |
| |
| Abstract: | The reguralization of
$SU(3)$ Yang-Mills gauge fields are presented using the method of
Mathematics Mechanization in this paper. Two fundamental concepts
are introduced:
exact Yang-Mills equation and characteristic
transformation of Yang-Mills gauge fields. Based on the two
concepts, the specializations of $SU(3)$ gauge fields are
realized, that is, the linearizations of exact Yang-Mills
equations are obtained via characteristic transformations. Thus,
the existence of $SU(3)$ Yang-Mills gauge fields is proved. |
| |
| Keywords: | mathematics mechanization SU(3)gauge fields exact Yang-Mills equations characteristic transformation |
|
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
|
