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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1434-6052 |