Standard model gauge fields localized on non-Abelian vortices in six dimensions
Standard model gauge fields localized on non-Abelian vortices in six dimensions
复制标题
六维非阿贝尔涡上的标准模型规范场
DOI：
10.1093/ptep/ptab144
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发表时间：
2021
影响因子：
3.5
通讯作者：
Sakai Norisuke
中科院分区：
文献类型：
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作者：
Arai Masato;Blaschke Filip;Eto Minoru;Kawaguchi Masaki;Sakai Norisuke
在六维时空中建立了具有全球非阿贝尔涡的膜世界SU(5)大统一理论模型。我们找到了一个解，其中一个涡旋相关TOSU(3)与另一个涡旋相关TOSU(2)分开。这种3-2分裂组态实现了SU(5)→SU(3)×SU(2)×U(1)对称性破缺的几何希格斯机制。一个简单的形变势能在非阿贝尔涡之间形成一个磁畴壁，从而产生一个线性禁闭势。禁闭稳定了旋涡分离模数，并保证了SU(3)和SU(2)基团的涡量相同。这决定了在SU(3)(夸克)和SU(2)(轻子)的基本表示中，费米子零模的数目相等，从而导致夸克/轻子的产生。由于依赖于场的规范动能函数，标准模型的无质量规范场被定域在非阿贝尔涡上。在适当的规范固定条件下，我们进行了涨落分析，得到了完整规范场和破裂规范场的二次型四维有效拉格朗日。我们发现，SU(3)×SU(2)×U(1)规范场是定域在涡旋上的，并且完全没有质量。用类矢量分析的方法巧妙地解决了用非平凡规范动能函数分析规范场谱的问题。
A brane-worldSU(5) grand unified theory model with global non-Abelian vortices is constructed in six-dimensional spacetime. We find a solution with a vortex associated toSU(3) separated from another vortex associated toSU(2). This 3–2 split configuration achieves a geometric Higgs mechanism forSU(5) →SU(3) ×SU(2) ×U(1) symmetry breaking. A simple deformation potential induces a domain wall between non-Abelian vortices, leading to a linear confining potential. The confinement stabilizes the vortex separation moduli, and ensures the vorticities of theSU(3) andSU(2) groups are identical. This dictates the equality of the numbers of fermion zero modes in the fundamental representation ofSU(3) (quarks) andSU(2) (leptons), leading to quark/lepton generations. The standard model massless gauge fields are localized on the non-Abelian vortices thanks to a field-dependent gauge kinetic function. We perform fluctuation analysis with an appropriate gauge fixing and obtain a four-dimensional effective Lagrangian of unbroken and broken gauge fields at quadratic order. We find thatSU(3) ×SU(2) ×U(1) gauge fields are localized on the vortices and exactly massless. Complications in analyzing the spectra of gauge fields with the nontrivial gauge kinetic function are neatly worked out by a vector-analysis-like method.