发表机构
Nagoya Aoi University（名古屋青大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
提出一个由复合强动力学实现的三体完整玩具框架，通过隐藏SU(3)规范理论产生复合凝聚体，经CP偶宇称门户耦合希格斯场，在尺度不变极限下动态诱导电弱对称性破缺与电弱尺度。
AI 中文摘要
我们提出了一个现象学玩具框架，该框架被提升为$(3+1)$维中的最小三态内部扇区，并由复合强动力学实现。它处于一个真正的三体完整（holonomy）之中，该完整起源于相对论性$(1+1)$维狄拉克系统。假设是：数字三并非首先作为规范对称性强加而来，而是继承自三体完整的原始闭合循环结构。这种三重结构随后重新表现为三态内部空间、三位点环、三味隐藏扇区以及三次行列式相互作用。我们引入了一个渐近自由的隐藏$SU(3)_H$规范理论，包含三个标准模型单态狄拉克味。强隐藏动力学产生复合凝聚体，而继承的完整（holonomy）选择其循环内部取向。反常三次行列式相互作用产生依赖于完整（holonomy）的势能，维度嬗变生成特征性的复合尺度。沿循环方向的径向复合激发，记为$S_3$，通过依赖于完整（holonomy）的CP偶宇称门户与标准模型希格斯二重态耦合。由此产生的凝聚体移动希格斯二次项，并可触发电弱对称性破缺。在经典尺度不变参考极限中，电弱尺度通过无量纲门户耦合从动态生成的隐藏扇区尺度诱导产生。
英文摘要
We propose a phenomenological toy framework promoted to a minimal three-state internal sector in $(3+1)$ dimensions and realized by composite strong dynamics. It is in a genuine three-body holonomy which originates in a relativistic $(1+1)$-dimensional Dirac system. The hypothesis is that the number three is not imposed first as a gauge symmetry, but is inherited from the primitive closed cyclic structure of the three-body holonomy. This threefold structure subsequently reappears as a three-state internal space, the three-site loop, a three-flavor hidden sector, and a cubic determinant interaction. We introduce an asymptotically free hidden $SU(3)_H$ gauge theory with three Standard-Model-singlet Dirac flavors. Strong hidden dynamics generates a composite condensate, while the inherited holonomy selects its cyclic internal orientation. The anomalous cubic determinant interaction produces a holonomy-dependent potential, and dimensional transmutation generates the characteristic composite scale. The radial composite excitation along the cyclic direction, denoted by $S_3$, couples to the Standard-Model Higgs doublet through a holonomy-dependent CP-even portal. The resulting condensate shifts the Higgs quadratic term and can trigger electroweak symmetry breaking. In the classically scale-invariant reference limit, the electroweak scale is induced from the dynamically generated hidden-sector scale through dimensionless portal couplings.
Comments23pages, 2 figures
