Kinks and double-kinks in generalized $$\phi ^{4}$$ ϕ 4 - and $$\phi ^{8}$$ ϕ 8 -models
Abstract Examining the $$\phi ^{4}$$ ϕ 4 and $$\phi ^{8}$$ 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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13651-3 |
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| author | F. C. E. Lima R. Casana C. A. S. Almeida |
| author_facet | F. C. E. Lima R. Casana C. A. S. Almeida |
| author_sort | F. C. E. Lima |
| collection | DOAJ |
| description | Abstract Examining the $$\phi ^{4}$$ ϕ 4 and $$\phi ^{8}$$ 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 $$\phi =0$$ ϕ = 0 , facilitating the emergence of genuine double-kink-type configurations. Conversely, the second promotes the rise of kink-type solutions. |
| format | Article |
| id | doaj-art-e371611b75a1427cb1c8d7c0622ee239 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-e371611b75a1427cb1c8d7c0622ee2392025-02-02T12:39:23ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-12-01841211210.1140/epjc/s10052-024-13651-3Kinks and double-kinks in generalized $$\phi ^{4}$$ ϕ 4 - and $$\phi ^{8}$$ ϕ 8 -modelsF. C. E. Lima0R. Casana1C. A. S. Almeida2Programa de Pós-graduação em Física, Universidade Federal do Maranhão, Campus Universitário do BacangaPrograma de Pós-graduação em Física, Universidade Federal do Maranhão, Campus Universitário do BacangaDepartamento de Física, Universidade Federal do Ceará (UFC), Campus do PiciAbstract Examining the $$\phi ^{4}$$ ϕ 4 and $$\phi ^{8}$$ 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 $$\phi =0$$ ϕ = 0 , facilitating the emergence of genuine double-kink-type configurations. Conversely, the second promotes the rise of kink-type solutions.https://doi.org/10.1140/epjc/s10052-024-13651-3 |
| spellingShingle | F. C. E. Lima R. Casana C. A. S. Almeida Kinks and double-kinks in generalized $$\phi ^{4}$$ ϕ 4 - and $$\phi ^{8}$$ ϕ 8 -models European Physical Journal C: Particles and Fields |
| title | Kinks and double-kinks in generalized $$\phi ^{4}$$ ϕ 4 - and $$\phi ^{8}$$ ϕ 8 -models |
| title_full | Kinks and double-kinks in generalized $$\phi ^{4}$$ ϕ 4 - and $$\phi ^{8}$$ ϕ 8 -models |
| title_fullStr | Kinks and double-kinks in generalized $$\phi ^{4}$$ ϕ 4 - and $$\phi ^{8}$$ ϕ 8 -models |
| title_full_unstemmed | Kinks and double-kinks in generalized $$\phi ^{4}$$ ϕ 4 - and $$\phi ^{8}$$ ϕ 8 -models |
| title_short | Kinks and double-kinks in generalized $$\phi ^{4}$$ ϕ 4 - and $$\phi ^{8}$$ ϕ 8 -models |
| title_sort | kinks and double kinks in generalized phi 4 ϕ 4 and phi 8 ϕ 8 models |
| url | https://doi.org/10.1140/epjc/s10052-024-13651-3 |
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