1. Kinks and double-kinks in generalized $\phi^{4n}$-and $\phi^{8n}$-models
- Author
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Lima, F. C. E., Casana, R., and Almeida, C. A. S.
- Subjects
High Energy Physics - Theory - Abstract
Examining the $\phi^{4n}$ and $\phi^{8n}$ models within a two-dimensional framework in flat spacetime and embracing a theory with unconventional kinetic terms, one investigates the emergence of compactified double kinks/antikinks. We restrict our study to field configurations with minimal energy profiles, i.e., fields with Bogomolnyi-Prasad-Sommerfield (BPS) properties. To accomplish our goal, we adopt non-polynomial functions as generalizing terms, namely, hyperbolic sine and cosine functions. These functions manifest potential minima at $\phi=0$ in the BPS bound, facilitating the emergence of double-kinks (and double-antikinks). Moreover, as these functions are modified, the double kinks/antikinks may acquire profiles similar to configurations of fields resembling double compactons/anti-compactons., Comment: 20 pages, 14 captioned figures
- Published
- 2024