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Collapsing domain walls beyond $Z_2$

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arxiv 2204.04374 v2 pith:IOM3PXKA submitted 2022-04-09 hep-ph astro-ph.CO

classification hep-phastro-ph.CO
keywords domainwallsbreakingdiscretesymmetriessymmetrycasecollapsing
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. One-Dimensional Simulations of the Topological Defects in a 3:1 $U(1)$ Model

    hep-ph 2026-07 conditional novelty 6.0 of 10

    In a 3:1 U(1) model, the Z3 domain wall develops a growing bias angle beta as v1/v2 is lowered, and no static wall exists below R12 ≈ 0.768.

  2. Minimal Multi-Majoron Model

    hep-ph 2025-07 conditional novelty 6.0 of 10

    The minimal multi-Majoron model is a UV-complete seesaw framework in which two Majoron VEVs set hierarchical right-handed neutrino masses and generate a combined cosmic-string and first-order-transition gravitational ...

  3. A Non-Holomorphic Modular $A_4$ Framework for Resonant Leptogenesis with Gravitational Wave Signatures

    hep-ph 2026-07 conditional novelty 5.0 of 10

    A non-holomorphic modular A4 seesaw model yields quasi-degenerate right-handed neutrinos, enabling resonant leptogenesis at ~10^6 GeV and a double-peaked gravitational-wave signature.

  4. Domain Walls from $\Sigma(36 \times 3)$, $\Delta(54)$ and $\Delta(27)$ potentials

    hep-ph 2026-03 conditional novelty 5.0 of 10

    Degenerate vacua of Δ(27)/Δ(54)/Σ(36×3) scalar potentials give rise to one or two distinct domain-wall types depending on which orbits merge under CP or enlarged symmetries.

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