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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.03270 |
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| _version_ | 1866915535471509504 |
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| author | Lima, F. C. E. Almeida, C. A. S. |
| author_facet | Lima, F. C. E. Almeida, C. A. S. |
| contents | We consider a two-dimensional scalar field theory that modifies the standard $ϕ^4$ model by introducing a smooth breaking of translational invariance through a hyperbolic generalizing function. This function explicitly breaks the $\mathbb{Z}_2$ symmetry; however, it also introduces a mechanism capable of generating new energy minima (vacua) and of localizing or delocalizing field fluctuations around these vacua. Thus, this mechanism enables the continuous transformation of the kink/antikink-like configurations into compacted asymmetric double-kink/antikink structures. Accordingly, this transformation gives rise to new classes of configurations resembling asymmetric non-topological solitons, characterized by a soft breaking of the $\mathbb{Z}_2$ symmetry. These findings are particularly compelling, as they are consistent with results describing Su-Schrieffer-Heeger (SSH) domain walls in dimerized polymer systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_03270 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Soft breaking of the $\mathbb{Z}_2$ symmetry in the $ϕ^4$ theory Lima, F. C. E. Almeida, C. A. S. High Energy Physics - Theory We consider a two-dimensional scalar field theory that modifies the standard $ϕ^4$ model by introducing a smooth breaking of translational invariance through a hyperbolic generalizing function. This function explicitly breaks the $\mathbb{Z}_2$ symmetry; however, it also introduces a mechanism capable of generating new energy minima (vacua) and of localizing or delocalizing field fluctuations around these vacua. Thus, this mechanism enables the continuous transformation of the kink/antikink-like configurations into compacted asymmetric double-kink/antikink structures. Accordingly, this transformation gives rise to new classes of configurations resembling asymmetric non-topological solitons, characterized by a soft breaking of the $\mathbb{Z}_2$ symmetry. These findings are particularly compelling, as they are consistent with results describing Su-Schrieffer-Heeger (SSH) domain walls in dimerized polymer systems. |
| title | Soft breaking of the $\mathbb{Z}_2$ symmetry in the $ϕ^4$ theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.03270 |