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arXiv 2309.04400hep-phastro-ph.COhep-th
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双Higgs二重态模型中的全局单极子

Global monopoles in the two-Higgs-doublet-model

Richard A. Battye, Steven J. Cotterill, Dominic G. Viatic

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12 pages, 4 figures
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AI总结：

本文研究了全局双Higgs二重态模型中因$SO(3)_{\ m HF}$对称性自发破缺形成的全局单极子，通过双向量描述其动力学，发现其与Nambu单极子密切相关且密度仍可标度化。

摘要：

我们讨论了在全局双Higgs二重态模型中，由于全局$SO(3)_{\ m HF}$对称性自发破缺而形成的单极子。我们解释说，Higgs扇区动力学可以用两个向量来描述，其中一个是零向量，即对于$a=1,2,3$，$R^A=(R^0,R^a,R^4,R^5)$，包含5个描述Higgs族对称性的独立分量；另一个是$n^a$，包含3个与“假设的”Goldstone玻色子相关的独立分量。当从随机初始条件形成时，我们发现单极子在中心形成带电真空，将两个场耦合在一起。我们找到了一个球对称解，该解在$R^a$和$n^a$向量中均具有近似均匀的单位球面缠绕。这些全局单极子与Nambu单极子密切相关。这些单极子所包含的额外复杂性和结构似乎并不妨碍其密度的标度化。

英文摘要：

We discuss monopoles formed due to the spontaneous breakdown of a global $SO(3)_{\rm HF}$ symmetry within the global two-Higgs doublet model. We explain that the Higgs sector dynamics can be described in terms of two vectors one of which is null, $R^A=(R^0,R^a,R^4,R^5)$ for $a=1,2,3$, with 5 independent components describing the Higgs family symmetry and another, $n^a$, with 3 independent components related to the ``would-be'' Goldstone bosons. When formed from random initial conditions we find that monopoles are formed with a charged vacuum in the centre which couples the two fields together. We find a spherical symmetric solution which is an approximately uniform, unit winding of the sphere in both the $R^a$ and $n^a$ vectors. These global monopoles are closely related to the Nambu monopole. The additional complexity and structure contained in these monopoles does not appear to prevent the scaling of their density.

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