Charge quantization and the Standard Model from the CP2 and CP3 nonlinear σ-models
Charge quantization and the Standard Model from the CP2 and CP3 nonlinear σ-models
复制标题
电荷量子化以及 CP2 和 CP3 非线性 σ 模型的标准模型
DOI：
10.1016/j.physletb.2014.02.034
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发表时间：
2014
影响因子：
4.4
通讯作者：
Tsuｔomu Yanagida
中科院分区：
文献类型：
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作者：
Simeon Hellerman;John Kehayias;Tsuｔomu Yanagida
我们通过 CP 2 非线性 sigma 模型 (NLSM)、SU (3) G/(SU (2) H× U (1) H) 和 CP 3 模型 SU (4) G/(SU (3) H× U (1) H) 研究标准模型 (SM) 中的电荷量化。我们还推广到任何 CP k 模型。电荷量子化遵循 NLSM 的一致性和动态性，无需单极子或大统一理论，如我们早期关于 CP 1 模型的工作所示 (arXiv: 1309.0692)。我们发现，完整的非阿贝尔子群下的物质场表示决定了它们在 U (1) H 因子下的电荷量子化。在 CP 2 模型中，未破碎群被认为是 SM 的弱电荷群和超电荷群，并且南部-戈德斯通玻色子 (NGB) 具有 SM 希格斯粒子的量子数。普朗克尺度上希格斯自耦合的消失存在着一种有趣的可能性。有趣的是，通过一些次要假设（没有类矢量物质和最小表示）并从单夸克双峰开始，异常消除需要 SM 中一代的物质结构。类似的分析也适用于 CP 3 模型，其中未破碎的群由 QCD 和超荷电确定，而 NGB 在超对称模型中将上夸克作为伙伴。这可以激励解决夸克质量消失的强CP问题。
We investigate charge quantization in the Standard Model (SM) through a CP 2 nonlinear sigma model (NLSM), SU (3) G/(SU (2) H× U (1) H), and a CP 3 model, SU (4) G/(SU (3) H× U (1) H). We also generalize to any CP k model. Charge quantization follows from the consistency and dynamics of the NLSM, without a monopole or Grand Unified Theory, as shown in our earlier work on the CP 1 model (arXiv: 1309.0692). We find that representations of the matter fields under the unbroken non-abelian subgroup dictate their charge quantization under the U (1) H factor. In the CP 2 model the unbroken group is identified with the weak and hypercharge groups of the SM, and the Nambu–Goldstone boson (NGB) has the quantum numbers of a SM Higgs. There is the intriguing possibility of a connection with the vanishing of the Higgs self-coupling at the Planck scale. Interestingly, with some minor assumptions (no vector-like matter and minimal representations) and starting with a single quark doublet, anomaly cancellation requires the matter structure of a generation in the SM. Similar analysis holds in the CP 3 model, with the unbroken group identified with QCD and hypercharge, and the NGB having the up quark as a partner in a supersymmetric model. This can motivate solving the strong CP problem with a vanishing up quark mass.