Kinks and double-kinks in generalized - and -models

F. C. E. Lima; R. Casana; C. A. S. Almeida

doi:10.1140/epjc/s10052-024-13651-3

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 1266
https://doi.org/10.1140/epjc/s10052-024-13651-3

Regular Article

Kinks and double-kinks in generalized $ϕ^{4}$ $\phi ^{4}$ - and $ϕ^{8}$ $\phi ^{8}$ -models

F. C. E. Lima¹, R. Casana¹^,2 and C. A. S. Almeida³^,4^a

¹ Programa de Pós-graduação em Física, Universidade Federal do Maranhão, Campus Universitário do Bacanga, 65080-805, São Luís, MA, Brazil
² Departamento de Física, Universidade Federal do Maranhão, Campus Universitário do Bacanga, 65080-805, São Luís, MA, Brazil
³ Departamento de Física, Universidade Federal do Ceará (UFC), Campus do Pici, 60455-760, Fortaleza, CE, Brazil
⁴ Departament de Física Teòrica and IFIC, Centro Mixto Universitat de València-CSIC. Universitat de València, Burjassot, 46100, Valencia, Spain

^a carlos@fisica.ufc.br

Received: 8 August 2024
Accepted: 25 November 2024
Published online: 6 December 2024

Abstract

Examining the $ϕ^{4}$ $\phi ^{4}$ and $ϕ^{8}$ $\phi ^{8}$ 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 $ϕ = 0$ $\phi =0$ , facilitating the emergence of genuine double-kink-type configurations. Conversely, the second promotes the rise of kink-type solutions.

© The Author(s) 2024

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