Soliton models for thick branes

Abstract

In this work, we present new soliton solutions for thick branes in $4+1$ dimensions. In particular, we consider brane models based on the sine-Gordon ($SG$), ${\phi }^4$ and ${\phi }^6$ scalar fields, which have broken $Z_2$ symmetry in some cases, and are responsible for supporting and stabilizing the thick branes. The origin of the symmetry breaking in these models resides in the fact that the modified scalar field potential may have non-degenerate vacuua. These vacuua determine the cosmological constant on both sides of the brane. We also study the geodesic equations along the fifth dimension, in order to explore the particle motion in the neighbourhood of the brane. Furthermore, we examine the stability of the thick branes, by determining the sign of the $w^2$ term in the expansion of the potential for the resulting Schrodinger-like equation, where $w$ is the 5-dimensional coordinate. It turns out that the ${\phi }^4$ brane is stable, while there are unstable modes for certain ranges of the model parameters in the SG and ${\phi }^6$ branes.

15 pages, 9 figures. V2: 18 pages; discussion on the brane stability and references added. Accepted for publication in the European Physical Journal C

References in corpus (16)

• First-order formalism for bent brane
• f(R)-Brane
• The standard model on a domain-wall brane?
• Thick brane models in generalized theories of gravity
• Remarks on bell-shaped lumps: stability and fermionic modes
• A Note on Asymmetric Thick Branes
• First Order Formalism for Thick Branes in Modified Teleparallel Gravity
• Brane modeling in warped extra-dimension
• Kink modes and effective four dimensional fermion and Higgs brane models
• A Brane World in an Arbitrary Number of Dimensions without Z_2 Symmetry
• Extra-dimensional cosmology with domain-wall branes
• Generalized Randall-Sundrum model with a single thick brane
• Confinement and stability of the motion of test particles in thick branes
• Thick-Brane Cosmology
• Classical tests of General Relativity in thick branes
• Stability of gravity-scalar systems for domain-wall models with a soft wall

Cited by in corpus (16)

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• Kink-Antikink Collisions in the Periodic ${\phi }^4$ Model
• Linear Stability of $f(R,\varphi ,X)$ Thick Branes: Tensor Perturbations
• Z2-Symmetric Thick Brane with Specific Warp Function
• New results on asymmetric thick branes
• First order formalism for thick branes in modified gravity with Lagrange multiplier
• New models for asymmetric kinks and branes
• Evolution of spherical domain walls in solitonic symmetron models
• Localization and mass spectra of various matter fields on Weyl thin brane
• Thick branes via higher order field theory models with exponential and power-law tails
• Novel thick brane solutions with $U(1)$ symmetry breaking
• Multidimensional arrow of time
• Cosmology and matter induced branes