Gauge Symmetry Restoration by Higgs Condensation in Flux Compactifications on Coset Spaces
Gauge Symmetry Restoration by Higgs Condensation in Flux Compactifications on Coset Spaces
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陪集空间上通量紧化中希格斯凝聚的规范对称性恢复
DOI：
10.1103/physrevd.105.045008
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发表时间：
2022
影响因子：
5
通讯作者：
Noriaki Kitazawa and Takao Suyama
中科院分区：
文献类型：
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作者：
Satoshi Iso;Noriaki Kitazawa and Takao Suyama
在高维规范理论中，规范场的额外维分量将扮演希格斯场的角色，并在具有（拓扑非平凡）规范场背景的内部空间上进行卡鲁扎-克莱因紧化后成为快子。它的凝聚，然后预计打破规范对称性自发。但是，与预期相反，一些模型表现出恢复规范对称性。本文通过考虑规范场的所有大质量Kaluza-Klein激发，明确地证明了在Higgs势的最小值时，其中一些激发确实变得无质量，并恢复了被规范场背景破坏的规范对称性（部分）.我们特别考虑了类单极通量的紧化以及瞬子和类单极通量的紧化.在某些情况下，规范对称性被完全恢复，正如以前的文献所讨论的那样。在其他情况下，有一个稳定的真空，在希格斯凝聚后部分恢复了规范对称性。规范场位形的拓扑结构阻止了规范对称性的恢复。
Extra-dimensional components of gauge fields in higher-dimensional gauge theories will play a role of the Higgs field and become tachyonic after Kaluza-Klein compactifications on internal spaces with (topologically nontrivial) gauge field backgrounds. Its condensation is then expected to break gauge symmetries spontaneously. But, contrary to the expectation, some models exhibit restoration of gauge symmetries. In this paper, by considering all the massive Kaluza-Klein excitations of gauge fields, we explicitly show that some of them indeed become massless at the minimum of the Higgs potential and restore (a part of) the gauge symmetries which are broken by gauge field backgrounds. We particularly consider compactifications onwith monopolelike fluxes and also onwith instanton and monopolelike fluxes. In some cases, the gauge symmetry is fully restored, as argued in previous literatures. In other cases, there is a stable vacuum with a partial restoration of the gauge symmetry after Higgs condensation. Topological structure of the gauge field configurations prevent the gauge symmetries from being restored.