Localization and Mass Spectra of Fermions on Symmetric and Asymmetric Thick Branes

Abstract

A three-parameter (positive odd integer $s$, thickness factor $\lambda$, and asymmetry factor $a$) family of asymmetric thick brane solutions in five dimensions were constructed from a two-parameter ($s$ and $\lambda$) family of symmetric ones in [R. Guerrero, R.O. Rodriguez, and R. Torrealba, Phys. Rev. D \textbf{72}, 124012 (2005).]. The values $s=1$ and $s\ge 3$ correspond to single branes and double branes, respectively. These branes have very rich inner structure. In this paper, by presenting the mass-independent potentials of Kaluza--Klein (KK) modes in the corresponding Schrödinger equations, we investigate the localization and mass spectra of fermions on the symmetric and asymmetric thick branes in an AdS background. In order to analyze the effect of gravity-fermion interaction (i.e., the effect of the inner structure of the branes) and scalar-fermion interaction to the spectrum of fermion KK modes, we consider three kinds of typical kink-fermion couplings. The spectra of left chiral fermions for these couplings are consisted of a bound zero mode and a series of gapless continuous massive KK modes, some discrete bound KK modes including zero mode (exist mass gaps) and a series of continuous massive KK modes, infinite discrete bound KK modes, respectively. The structures of the spectra are investigated in detail.

v1: 35 pages, 21 figures; v2: 22 pages, 22 figures, to appear in PRD

References in corpus (23)

• 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?
• Gauge Fields, Fermions and Mass Gaps in 6D Brane Worlds
• Bulk Matters on Symmetric and Asymmetric de Sitter Thick Branes
• Mass gap for gravity localized on Weyl thick branes
• Localization of Fermions on a String-like Defect
• 6D thick branes from interacting scalar fields
• Remarks on bell-shaped lumps: stability and fermionic modes
• Fermions in Self-dual Vortex Background on a String-like Defect
• Living on the edge in a spacetime with multiple warping
• Localization of fermionic fields on braneworlds with bulk tachyon matter
• Induced cosmological constant and other features of asymmetric brane embedding
• Thick de Sitter brane solutions in higher dimensions
• Thick brane in 7D and 8D spacetimes
• Spectra of Field Fluctuations in Braneworld Models with Broken Bulk Lorentz Invariance
• Fermions in gravity and gauge backgrounds on a brane world
• Close to the edge: hierarchy in a double braneworld
• Instability of thick brane worlds

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• Fermion Resonances on a Thick Brane with a Piecewise Warp Factor
• Fermion localization in braneworld teleparallel f(T,B) gravity
• Bulk Matters on a GRS-Inspired Braneworld
• Universal spin-1/2 fermion field localization on a 5D braneworld
• Localization of scalar field on the brane-world by coupling with gravity
• Quasinormal ringing of thick braneworlds with a finite extra dimension
• New fermions in the bulk
• Localization mechanism of $q-$form field on the brane-world by coupling with gravity
• Self-gravitating non-abelian kinks as brane worlds
• On the asymmetric non-canonical braneworld in five dimensions
• Novel thick brane solutions with $U(1)$ symmetry breaking
• Localization of $q$-form field on squared curvature gravity domain wall brane coupling with gravity and background scalar
• The End of the Road for Bulk Fields in Warped Randall-Sundrum Braneworlds