发表机构
UECE/FECLESC(塞阿拉州立大学费克莱斯学院)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文在余维二 hedgehog 膜世界中提出一种几何质量产生机制,通过角向额外维度的运动赋予无质量粒子有效质量,并揭示自旋-曲率耦合对 Kaluza-Klein 模式局域化的影响。
AI 中文摘要
我们研究了一种在余维二 hedgehog 膜世界中产生质量的几何机制。在体空间中传播的无质量粒子,通过沿紧致角向额外维度的运动获得有效的四维质量,并在正则量子化后产生动态确定的 Kaluza-Klein 谱。虽然玻色子扇区没有表现出径向约束,但将分析扩展到 N=1、2 的自旋粒子模型表明,自旋-曲率耦合修改了有效势,并引入了 Kaluza-Klein 模式的能级依赖的局域化模式。这些结果在通量支持的余维二膜世界中建立了几何质量产生的粒子力学实现,并强调了体几何、自旋与有效四维质量谱之间的相互作用。
英文摘要
We investigate a geometric mechanism for mass generation in a codimension-two hedgehog braneworld. A massless particle propagating in the bulk acquires an effective four-dimensional mass through its motion along the compact angular extra dimension, yielding a dynamically determined Kaluza-Klein spectrum after canonical quantization. While the bosonic sector exhibits no radial confinement, extending the analysis to N = 1, 2 spinning-particle models shows that the spin-curvature coupling modifies the effective potential and introduces a level-dependent localization pattern for the Kaluza-Klein modes. The results establish a particle-mechanics realization of geometric mass generation in flux-supported codimension-two braneworlds and highlight the interplay between bulk geometry, spin, and the effective four-dimensional mass spectrum.
Comments3 figures