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arXiv 1704.04840hep-ph
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大规范-Higgs统一模型中高秩统一群的标准模型规范对称性

The Standard Model Gauge Symmetry from Higher-Rank Unified Groups in Grand Gauge-Higgs Unification Models

Kentaro Kojima, Kazunori Takenaga, Toshifumi Yamashita

摘要:

研究了额外维在$S^1/Z_2$上紧化的五维时空中的大统一模型。统一规范对称性的自发破缺是通过规范场额外维分量的真空期望值实现的。本文导出了SU(7),SU(8),SO(10)和$E_6$模型中规范场零模的单圈有效势。在每一个模型中,遵守在轨道不动点处施加的边界条件的剩余规范对称性的秩高于标准模型的秩。我们验证了剩余对称性是破缺的标准模型规范对称性在全球最小的有效潜力,在每个模型中的某些集体费米子场。

英文摘要:

We study grand unified models in the five-dimensional space-time where the extra dimension is compactified on $S^1/Z_2$. The spontaneous breaking of unified gauge symmetries is achieved via vacuum expectation values of the extra-dimensional components of gauge fields. We derive one-loop effective potentials for the zero modes of the gauge fields in SU(7), SU(8), SO(10), and $E_6$ models. In each model, the rank of the residual gauge symmetry that respects the boundary condition imposed at the orbifold fixed points is higher than that of the standard model. We verify that the residual symmetry is broken to the standard model gauge symmetry at the global minima of the effective potential for certain sets of bulk fermion fields in each model.

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