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

2024/08/08 by F. C. E. Lima, Lima, F. C. E., R. Casana +3
Engineering · #Optical Network Technologies

paper · pdf · doi:10.48550/arxiv.2408.04761

Abstract

Examining the ϕ⁴ and ϕ⁸ 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.

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