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arXiv 1801.02498hep-thhep-ph
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非紧额外维中的定域非阿贝尔规范场

Localized non-Abelian gauge fields in non-compact extra-dimensions

Masato Arai, Filip Blaschke, Minoru Eto, Norisuke Sakai

摘要:

研究了非紧平坦$D$维中非阿贝尔规范场的动力学局域化。当一个场凝聚在一个有限的时空区域中时,局域化通过依赖于场的规范动力学项发生。这种情况通常出现在拓扑孤子的存在。我们构建四维低能量有效拉格朗日的二次阶在一个普遍的方式适用于任何时空维度。我们设计了一个扩展的$R_ξ$规范,以分离物理和非物理模式清楚。在D维非阿贝尔规范场中,物理无质量模只存在于四维分量中,而在额外维分量中不存在。非阿贝尔规范荷的普适性是由于四维规范荷的不变性。我们用$D=5$(畴壁)、$D=6$(涡旋)和$D=7$中的模型来说明我们的方法。

英文摘要:

Dynamical localization of non-Abelian gauge fields in non-compact flat $D$ dimensions is worked out. The localization takes place via a field-dependent gauge kinetic term when a field condenses in a finite region of spacetime. Such a situation typically arises in the presence of topological solitons. We construct four-dimensional low-energy effective Lagrangian up to the quadratic order in a universal manner applicable to any spacetime dimensions. We devise an extension of the $R_ξ$ gauge to separate physical and unphysical modes clearly. Out of the D-dimensional non-Abelian gauge fields, the physical massless modes reside only in the four-dimensional components, whereas they are absent in the extra-dimensional components. The universality of non-Abelian gauge charges holds due to the unbroken four-dimensional gauge invariance. We illustrate our methods with models in $D=5$ (domain walls), in $D=6$ (vortices), and in $D=7$.

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