arXiv 1310.40972013-10hep-ph

相交畴壁膜的对称性冲突机制

A Clash-of-Symmetries Mechanism from Intersecting Domain-Wall Branes

Benjamin D. Callen, Raymond R. Volkas

备注：: 36 pages, 2 figures, one reference added. This version has been accepted for publication in Physical Review D
发表信息：: Phys. Rev. D 89, 056004 (2014)
DOI：: 10.1103/PhysRevD.89.056004

摘要：

我们提出了一个新的冲突的对称性机制的背景下，相交的域壁膜模型在5+1维闵可夫斯基时空的作者最近提出的。Dvali-Shifman的这种新的应用是为了在畴壁相交处局域化规范场而设计的，我们通过增加一个规范群$G$并给出形成块状轮廓的规范荷的标量场来使用它。这些场依次将$G$分解为两个不同的子群$H_{1}$和$H_{2}$，这些子群的规范场通过$G$的约束动力学被定域到各自的畴壁上。然后，在畴壁相交处有一个进一步的破缺到$H_{1}\cap{}H_{2}$，如果这个重叠群的规范场属于$H_{1}$和$H_{2}$的非阿贝尔子群，它们在相交处自发破缺，并被限制在各自的畴壁膜的4+ 1维块体中，那么它们就可以局域化到相交处。该机制与单畴壁上的对称性冲突机制有一些相似之处，除了在这种情况下$H_{1}$和$H_{2}$不需要是同构的。然后，我们给出了SU（7）规范理论中的一些有趣的例子，其中几个导致了标准模型规范群的局部化。

英文摘要：

We present a new Clash-of-Symmetries mechanism in the context of an intersecting domain-wall brane model in 5+1-dimensional Minkowskian spacetime recently proposed by the authors. This new application of the Dvali-Shifman idea is designed for localizing gauge fields on a domain-wall intersection and we employ it by adding a gauge group $G$ and giving the scalar fields which form lump-like profiles gauge charges. These fields in turn break $G$ to two different subgroups $H_{1}$ and $H_{2}$ on each domain wall, and the gauge fields of these subgroups are taken to be localized to the respective walls by the confinement dynamics of $G$. There is then a further breaking on the domain-wall intersection to $H_{1}\cap{}H_{2}$ and gauge fields of this overlap group can then be localized to the intersection if they belong inside non-Abelian subgroups of both $H_{1}$ and $H_{2}$ which are spontaneously broken on the intersection and confining in the 4+1D bulks of the respective domain-wall branes. This mechanism has some similarities to the Clash-of-Symmetries mechanism on a single domain wall except that in this case $H_{1}$ and $H_{2}$ need not be isomorphic. We then give some interesting examples of the mechanism in an SU(7) gauge theory, several of which result in the localization of the Standard Model gauge group.

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