论文标题
$ \ mathbb {cp}^2 $上的量规和标量字段：量规不变分析ii。量规场和4D WZW理论的度量
Gauge and Scalar Fields on $\mathbb{CP}^2$: A Gauge-invariant Analysis II. The measure for gauge fields and a 4d WZW theory
论文作者
论文摘要
我们考虑了四维复合物射影空间上仪表场的仪表轨道空间的体积。该分析使用量规场的参数化，其中规变量在该字段上均匀起作用，从而促进了明显的规格不变分析。该音量元素包含一个四维的Wess-Zumino-witten（WZW）动作，用于Hermitian矩阵值。对于量规场的某些组成部分，还有一个类似质量的项。我们讨论质量项与晶格模拟的结果以及Schwinger-Dyson方程的结果。我们主张一种运动学制度，其中阳米尔斯理论可以通过4D-WZW理论近似。结果暗示了QCD的Instanton液体图片。此外，这也表明了限制的机制类似于二维中发生的情况。
We consider the volume of the gauge orbit space for gauge fields on four-dimensional complex projective space. The analysis uses a parametrization of gauge fields where gauge transformations act homogeneously on the fields, facilitating a manifestly gauge-invariant analysis. The volume element contains a four-dimensional Wess-Zumino-Witten (WZW) action for a hermitian matrix-valued field. There is also a mass-like term for certain components of the gauge field. We discuss how the mass term could be related to results from lattice simulations as well as Schwinger-Dyson equations. We argue for a kinematic regime where the Yang-Mills theory can be approximated by the 4d-WZW theory. The result is suggestive of the instanton liquid picture of QCD. Further it is also indicative of the mechanism for confinement being similar to what happens in two dimensions.
