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Kinks and double-kinks in generalized ϕ4- and ϕ8-models

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 ene...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2024-12, Vol.84 (12), p.1266
Main Authors: Lima, F. C. E., Casana, R., Almeida, C. A. S.
Format: Article
Language:English
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Summary: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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-024-13651-3