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arXiv · 2204.04374

Collapsing domain walls beyond $Z_2$

Yongcheng Wu·Ke-Pan Xie·Ye-Ling Zhou
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Abstract

Discrete symmetries are widely imposed in particle theories. It is well-known that the spontaneous breaking of discrete symmetries leads to domain walls. Current studies of domain walls have focused on those from the spontaneous breaking of a $Z_2$ symmetry. Larger discrete symmetries have multiple degenerate vacua, leading to the domain walls in principle different from the simplest $Z_2$ domain wall. We take domain walls from $Z_N$ symmetry breaking as an illustrative study, and study in detail the $Z_3$ case, in which semi-analytical results for the tension and thickness of domain walls are derived. Explicit symmetry breaking terms lead to the dynamics of domain walls collapsing more complicated than the $Z_2$ case. Gravitational wave signals deviate from those from $Z_2$ domain walls.

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Yongcheng Wu, Ke-Pan Xie, Ye-Ling Zhou. 2022-04-29. Collapsing domain walls beyond $Z_2$. https://doi.org/10.1103/physrevd.105.095013

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