论文标题
压实的空格额外尺寸和brane-higgs字段
Compactified Spacelike Extra Dimension & Brane-Higgs Field
论文作者
论文摘要
在具有较小的翘曲空隙额外尺寸（SED）的范式中，Higgs场通常位于SED（TEV-BRANE）边界的位置，其中重力尺度通过扭曲因子将其红移到TEV上。如果SM仪表玻色子和费米子传播到扭曲的SED中，则可以产生大规模的层次结构。因此，至关重要的是要仔细治疗Tev-Brane局部质量为此类费米子处理，这在文献中是通过应用缺乏一致性和更重要的无用的正则化过程来完成的，正如我们在本论文中详细证明的那样。论文的第一部分专门用于治疗5D费米子的Brane局部质量项，这需要在SED边界引入新的Lagrangian项，类似于重力中的Gibbons-Hawking术语。第二部分在于将不同的方法（功能/分布字段，4D/5D计算等）应用于各种Brane局部术语（动力学术语，Majorana群众等），以及对多个分类模型（平面/扭曲维度，Intervelle/Orbifold等）的概括）。在第三部分中，我们建议在带有大量相同的小叶子/花瓣的星/玫瑰图上压实平坦的SED。我们获得了一个没有大容量的压实空间，而没有较大的压实长度可以稳定。我们使用5D费米子的方法来构建一个小型狄拉克中微子质量的玩具模型（Brane局部左手中微子和批量右手）。
In the paradigm with a small warped Spacelike Extra Dimensions (SED), the Higgs field is in general localized at a boundary of the SED (TeV-brane) where the gravity scale is redshifted to the TeV by a warp factor. If the SM gauge bosons and fermions propagate into the warped SED, one can generate the mass hierarchy for fermions. It is thus crucial to treat carefully the TeV-brane localized masses for such fermions, which is done in the literature by applying a regularization process suffering from a lack of consistency and more importantly being useless, as we demonstrate in detail in the present thesis. The first part of the thesis is devoted to the treatment of brane localized mass terms for 5D fermions, which requires the introduction of new Lagrangian terms at the SED boundaries, similar to the Gibbons-Hawking terms in gravity. The second part consists in applying different methods (function/distribution fields, 4D/5D calculations, etc) to various brane localized terms (kinetic terms, Majorana masses, etc), as well as a generalization to several classified models (flat/warped dimensions, intervalle/orbifold, etc). In the third part, we propose to compactify a flat SED on a star/rose graph with a large number of identical small leaves/petals. We obtain a compactified space with a large volume without a large compactification length to stabilize. We use the approach of 5D fermions to build a toy model of small Dirac neutrino masses (brane localized left-handed neutrinos and bulk right-handed ones).
