The Two Higgs Doublet Model predicts the emergence of 3 distinct domain wall solutions arising from the breaking of 3 accidental global symmetries, Z 2 , CP1 and CP2, at the electroweak scale for specific choices of the model parameters. We present numerical kink solutions to the field equations in all three cases along with dynamical simulations of the models in (2+1) and (3+1) dimensions. For each kink solution we define an associated topological current. In all three cases simulations produce a network of domain walls which deviates from power law scaling in Minkowski and FRW simulations. This deviation is attributed to a winding of the electroweak group parameters around the domain walls in our simulations. We observe a local violation of the neutral vacuum condition on the domain walls in our simulations. This violation is attributed to relative electroweak transformations across the domain walls which is a general feature emerging from random initial conditions.

中文翻译：

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两个希格斯双峰模型中畴壁的模拟

两个希格斯双峰模型预测了 3 个不同的畴壁解的出现，这些解是由 3 个偶然的全局对称性 Z 2 、CP1 和 CP2 在电弱尺度上针对模型参数的特定选择而出现的。我们在所有三种情况下都给出了场方程的数值扭结解以及模型在 (2+1) 和 (3+1) 维的动力学模拟。对于每个扭结解决方案，我们定义了一个相关的拓扑电流。在所有三种情况下，模拟都会产生一个畴壁网络，该网络偏离 Minkowski 和 FRW 模拟中的幂律缩放。这种偏差归因于在我们的模拟中围绕畴壁的电弱群参数的缠绕。在我们的模拟中，我们观察到畴壁上中性真空条件的局部违反。