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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.04761 |
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| _version_ | 1866929609183854592 |
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| author | Lima, F. C. E. Casana, R. Almeida, C. A. S. |
| author_facet | Lima, F. C. E. Casana, R. Almeida, C. A. S. |
| contents | Examining the $ϕ^{4}$ and $ϕ^{8}$ models within a two-dimensional framework in the flat spacetime and embracing a theory with unconventional kinetic terms, one investigates the emergence of kinks/antikinks and double-kinks/antikinks. We devote our study to obtaining the field configurations with minimal energy, i.e., solutions possessing a Bogomol'nyi-Prasad-Sommerfield's bound. Next, to accomplish our goal, we adopt non-polynomial generalizing functions, namely, hyperbolic sine and cosine functions: the first produce BPS potentials exhibiting a minimum at $ϕ=0$, facilitating the emergence of genuine double-kink-type configurations. Conversely, the second promotes the rise of kink-type solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_04761 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kinks and double-kinks in generalized $ϕ^{4}$-and $ϕ^{8}$-models Lima, F. C. E. Casana, R. Almeida, C. A. S. High Energy Physics - Theory Examining the $ϕ^{4}$ and $ϕ^{8}$ models within a two-dimensional framework in the flat spacetime and embracing a theory with unconventional kinetic terms, one investigates the emergence of kinks/antikinks and double-kinks/antikinks. We devote our study to obtaining the field configurations with minimal energy, i.e., solutions possessing a Bogomol'nyi-Prasad-Sommerfield's bound. Next, to accomplish our goal, we adopt non-polynomial generalizing functions, namely, hyperbolic sine and cosine functions: the first produce BPS potentials exhibiting a minimum at $ϕ=0$, facilitating the emergence of genuine double-kink-type configurations. Conversely, the second promotes the rise of kink-type solutions. |
| title | Kinks and double-kinks in generalized $ϕ^{4}$-and $ϕ^{8}$-models |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.04761 |