Thick branes via higher order field theory models with exponential and power-law tails

Marzieh Peyravi; Samira Nazifkar; Francisco S. N. Lobo; Kurosh Javidan

doi:10.1140/epjc/s10052-023-11992-z

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 832
https://doi.org/10.1140/epjc/s10052-023-11992-z

Regular Article - Theoretical Physics

Thick branes via higher order field theory models with exponential and power-law tails

Marzieh Peyravi¹, Samira Nazifkar², Francisco S. N. Lobo³^,4^c and Kurosh Javidan¹

¹ Department of Physics, School of Sciences, Ferdowsi University of Mashhad, 91775-1436, Mashhad, Iran
² Department of Physics, Faculty of Science, University of Neyshabur, Neyshabur, Iran
³ Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências da Universidade de Lisboa, Campo Grande, Edifício C8, 1749-016, Lisbon, Portugal
⁴ Departamento de Física, Faculdade de Ciências da Universidade de Lisboa, Campo Grande, Edifício C8, 1749-016, Lisbon, Portugal

^c fslobo@fc.ul.pt

Received: 29 March 2023
Accepted: 1 September 2023
Published online: 21 September 2023

Abstract

In this work, we obtain exact thick brane models in $4 + 1$ $$4+1$$ dimensions generated by higher order field theory kinks, inspired by specific potentials for $ϕ^{10}$ $\phi ^{10}$ and $ϕ^{18}$ $\phi ^{18}$ models. We verify that the geodesic equation along the fifth dimension confirms the confining effects of the scalar field on the brane for all of these models. These models provide new solutions with exponential and power-law tails which live in different topological sectors. We show that the resulting branes of specific exponential law models do not possess $Z_{2}$ $$Z_2$$ -symmetry. Furthermore, we examine the stability of the thick branes, by determining the sign of the $w^{2}$ $$w^2$$ term in the expansion of the potential for the resulting Schrödinger-like equation. It turns out that two of the three models of the $ϕ^{10}$ $\phi ^{10}$ brane are stable, while another contains unstable modes for certain ranges of the model parameters. We also show that the brane solution from the specific $ϕ^{18}$ $\phi ^{18}$ models are stable, while the others involve neutral equilibrium. The asymptotic behaviour of the brane solutions are also discussed.

© The Author(s) 2023

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