Localization of Matters on Anti-de Sitter Thick Branes

Abstract

By presenting the mass-independent potentials of the Kaluza-Klein (KK) modes in the corresponding Schrödinger equations, we investigate the localization and mass spectra of various bulk matter fields on an AdS thick brane. For a spin 0 scalar $\Phi$ coupled with itself and the domain-wall-forming field $\varphi$ via a coupling potential $V=(\lambda {\varphi }^2-u^2){\Phi }^2+\tau {\Phi }^4$, the localization and spectrum are decided by a critical coupling constant ${\lambda }_0$. When $\lambda >{\lambda }_0$, the potential of the scalar KK modes in the corresponding Schrödinger equation tends to infinite when far away from the brane, which results in that there exist infinite discrete scalar bound KK states, and the massless modes could be trapped on the AdS brane by fine-tuning of parameters. When $\lambda <{\lambda }_0$, the potential of the scalar KK modes tends to negative infinite when far away from the brane, hence there does not exist any scalar bound KK state. For a spin 1 vector, the situation is same like the scalar with a coupling constant $\lambda >{\lambda }_0$, but the zero mode can not be localized on the brane. For a spin 1/2 fermion, we introduce the usual Yukawa coupling $\eta \bar{\Psi }\varphi \Psi$, and find that the localization of the fermion is decided by a critical coupling constant ${\eta }_0$. For $\eta >{\eta }_0$, the four-dimensional massless left chiral fermion and massive Dirac fermions consisted of the pairs of coupled left-hand and right-hand KK modes could be localized on the AdS brane, and the massive Dirac fermions have a set of discrete mass spectrum. While for the case $0<\eta <{\eta }_0$, no four-dimensional Dirac fermion can be localized on the AdS brane.

23 pages, 17 figures, published version

References in corpus (25)

• Thick brane solutions
• Fermion localization and resonances on two-field thick branes
• Fermion Localization and Resonances on A de Sitter Thick Brane
• Fermion localization on thick branes
• Fermions on Thick Branes in the Background of Sine-Gordon Kinks
• Gravity localization on thick branes: a numerical approach
• Scalar fields, bent branes, and RG flow
• The standard model on a domain-wall brane?
• Localization and Mass Spectra of Fermions on Symmetric and Asymmetric Thick Branes
• Fermion Resonances on Multi-field Thick Branes
• Bulk Matters on Symmetric and Asymmetric de Sitter Thick Branes
• Mass gap for gravity localized on Weyl thick branes
• Scalar-Kinetic Branes
• Localization of Fermions on a String-like Defect
• 6D thick branes from interacting scalar fields
• Fermion localization on asymmetric two-field thick branes
• Remarks on bell-shaped lumps: stability and fermionic modes
• Fermions in Self-dual Vortex Background on a String-like Defect
• Fermions, scalars and Randall-Sundrum gravity on domain-wall branes
• Kink modes and effective four dimensional fermion and Higgs brane models
• Thick brane in 7D and 8D spacetimes
• Extra-dimensional cosmology with domain-wall branes
• Fermions in gravity and gauge backgrounds on a brane world
• Coupled bulk and brane fields about a de Sitter brane
• Instability of thick brane worlds

Cited by in corpus (38)

• Domain wall brane in squared curvature gravity
• Localization of 5D Elko Spinors on Minkowski Branes
• Tensor perturbations of $f(R)$-branes
• Tensor perturbations of $f(T)$-branes
• Localization of bulk matter fields, the hierarchy problem and corrections to Coulomb's law on a pure de Sitter thick braneworld
• Thick branes with a nonminimally coupled bulk-scalar field
• Fermion localization on asymmetric two-field thick branes
• Bulk matter fields on two-field thick branes
• Mass dimension one fermions: Constructing darkness
• Effects of the variation of mass on fermion localization and resonances on thick branes
• Localization of gravity on a de Sitter thick braneworld without scalar fields
• Frame-invariant approach to higher-dimensional scalar-tensor gravity
• Highly interactive kink solutions
• Localization of five-dimensional Elko spinors with non-minimal coupling on thick branes
• Aspects of thick brane worlds: 4D gravity localization, smoothness, and mass gap
• Fermion Resonances on a Thick Brane with a Piecewise Warp Factor
• q-Form fields on p-branes
• Localization of Bulk Matters on a Thick Anti-de Sitter Brane
• Resonances of Kalb-Ramond field on symmetric and asymmetric thick branes
• Bulk Matters on a GRS-Inspired Braneworld
• Effects of temperature on thick branes and the fermion (quasi-)localization
• Bulk Antisymmetric tensor fields coupled to a dilaton in a Randall-Sundrum model
• Deformed brane with finite extra dimension
• On localization of universal scalar fields in a tachyonic de Sitter thick braneworld
• Coulomb's law corrections and fermion field localization in a tachyonic de Sitter thick braneworld
• Non-minimal coupling of fermion to the torsion in the modified teleparallel braneworld
• Generalized geometrical coupling for vector field localization on thick brane in asymptotic Anti-de Sitter spacetime
• $U(1)$ gauge vector field on a codimension-2 brane
• Localization of scalar field on the brane-world by coupling with gravity
• Effective action of a self-interacting scalar field on brane
• Quasinormal ringing of thick braneworlds with a finite extra dimension
• Localization mechanism of $q-$form field on the brane-world by coupling with gravity
• Localization and mass spectra of various matter fields on Weyl thin brane
• Trapping Dirac fermions in tubes generated by two scalar fields
• Pure Geometric Branes and Mass Hierarchy
• Localization of Vector Field on Pure Geometrical Thick Brane
• Localization of five-dimensional Elko Spinors on dS/AdS Thick Branes
• Flat and bent branes in Born-Infeld-like scalar field models