论文标题
关于仪表统一模型的真空结构
On the vacuum structure of gauge-Higgs unification models
论文作者
论文摘要
在本文中，我们讨论了仪表统一理论的真空结构，该理论是标准模型以外的物理学的有吸引力的候选者之一。这种情况具有一个了不起的特征，即由于提交的希格斯的特征周期性潜力，它具有无限退化的真空吸尘器，可以用较高尺寸仪表场的额外空间组成部分来识别。为了实现理论的真实真空状态，我们是否要解决一个问题，即是否形成这种退化真空的叠加，例如QCD中的$θ$ -VACUUM。我们得出了量规场的配置，该配置描述了相邻真空之间的过渡，例如QCD中的Instanton（或抗Instanton）解决方案以及两个模型中相应的欧几里得动作。在简化的二维U（1）模型中，描述过渡的派生配置被证明具有有限的欧几里得动作，因此，“ $θ$ -VACUUM”和所得的“ $θ$ -Term”是表述的。然而，在现实的5D U（1）模型中，描述过渡的规格场配置被证明具有无限的欧几里得作用，因此退化真空吸尘器之间的隧道概率消失了。因此，不需要退化真空的叠加。
In this paper, we discuss the vacuum structure of the gauge-Higgs unification theory, which is one of the attractive candidates of physics beyond the standard model. This scenario has a remarkable feature, namely it has infinitely degenerate vacua due to the characteristic periodic potential of the Higgs filed, to be identified with the extra space component of the higher dimensional gauge field. We address a question, whether to form the superposition of such degenerate vacua, like the $θ$-vacuum in QCD, is necessary or not, in order to realize the true vacuum state of the theory. We derive gauge field configuration which describes the transition between neighboring vacua, like the instanton (or anti-instanton) solution in QCD, and the corresponding Euclidean action in two models. In a simplified 2-dimensional U(1) model, the derived configuration to describe the transition is shown to have finite Euclidean action, and accordingly the "$θ$-vacuum" and the resultant "$θ$-term" are formulated. In a realistic 5D U(1) model, however, the gauge field configuration to describe the transition is shown to have infinite Euclidean action and therefore the tunneling probability between the degenerate vacua vanishes. Thus the superposition of the degenerate vacua is not necessary.
