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arXiv 2609.14324gr-qchep-th

具有块状标量背景的厚膜上矢量场和费米场的局域化

Localization of Vector and Fermion Fields on a Thick Brane with a Lump-type Scalar Background

Jun-Tong Zhou, Zhen-Hua Zhao

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中文总结 AI 辅助

该研究在渐近反德西特时空中构建了由非拓扑块状标量场支撑的厚膜世界模型,通过引入非最小耦合,实现了矢量场和费米场零模的成功局域化,并允许左右手费米子零模同时局域化。

中文摘要 AI 辅助

我们在渐近反德西特时空中研究了一种由非拓扑块状标量场支撑的厚膜世界模型。与同样是非拓扑解的玻色子星不同,我们设置中的复标量场必须具有零振荡频率。因此,背景标量场是静态且实的,这破坏了全局$U(1)$对称性。这类似于自发对称破缺,但并不完全相同。然后,我们在此框架内研究了矢量场和费米场的局域化。通过引入特定的非最小耦合,我们证明了这两个场的零模都可以成功局域化。值得注意的是,这种机制允许左右手费米子零模同时局域化。

英文摘要

We study a thick braneworld model in asymptotically anti-de Sitter spacetime, supported by a non-topological lump-type scalar field. Unlike in boson stars, which are also non-topological solutions, the complex scalar field in our setup must have zero oscillation frequency. Consequently, the background scalar field is static and real, which breaks the global $U(1)$ symmetry. This is similar to spontaneous symmetry breaking, but it is not the same. We then investigate the localization of vector and fermion fields within this framework. By introducing a specific non-minimal coupling, we demonstrate that the zero modes of both fields can be successfully localized. Notably, this mechanism allows for the simultaneous localization of both left- and right-handed fermion zero modes.

发表机构

  • Shandong University of Science and Technology(山东科技大学)

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