Fermion localization on two-field thick branes

Abstract

In a recent paper published in this journal, Almeida and collaborators [Phys. Rev. D \textbf{79}, 125022 (2009)] analyze the issue of fermion localization of fermions on a brane constructed from two scalar fields coupled with gravity (Bloch brane model). In this meritorious research the simplest Yukawa coupling $\eta \bar{\Psi }\varphi \chi \Psi$ was considered. In that work does not analyze the zero mode in details. In this paper, the localization of fermions on two-field thick branes is reinvestigated. It is found that the simplest Yukawa coupling does not support the localization of fermions on the brane. In addition, the problem of fermion localization for some other Yukawa couplings are analyzed. It is shown that the zero mode for left-handed and right-handed fermions can be localized on the brane depending on the values for the coupling constant $\eta$ and the Bloch brane's parameter $a$.

14 pages, 11 figures

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• Fermion localization and resonances on two-field thick branes
• Fermion localization on thick branes
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Cited by in corpus (29)

• Solutions to the problem of ELKO spinor localization in brane models
• Fermion localization on degenerate and critical branes
• Gauge field localization on the Bloch Brane
• Mass dimension one fermions: Constructing darkness
• New localization mechanism of fermions on braneworlds
• Fermion localization on branes with generalized dynamics
• Graviton resonances on two-field thick branes
• A Transfer Matrix Method for Resonances in Randall-Sundrum Models III: An analytical comparison
• First-order formalism for flat branes in generalized N-field models
• A Transfer Matrix Method for Resonances in Randall-Sundrum Models II: The Deformed Case
• Kalb-Ramond field localization on the Bloch brane
• Fermionic Kaluza-Klein modes in the string-cigar braneworld
• Impact of compactlike and asymmetric configurations of thick branes on the scalar-tensor representation of $f\left(R,T\right)$ gravity
• Field localization and Nambu Jona-Lasinio mass generation mechanism in an alternative 5-dimensional brane model
• Localization and quasilocalization of spin-$1/2$ fermion field on two-field thick braneworld
• Effects of temperature on thick branes and the fermion (quasi-)localization
• Mass radius relation of compact stars in the braneworld
• Deformed brane with finite extra dimension
• Resonance spectrum of a bulk fermion on branes
• Spectrum Structure of Fermion on Bloch Branes with Two Scalar-fermion Couplings
• Hybrid Bloch Brane
• Localization of scalar fields on self-gravitating thick branes
• Localization and mass spectra of various matter fields on scalar-tensor brane
• Gravity and Matters on a pure geometric thick polynomial $f(R)$ brane
• Gravity effects on thick brane formation from scalar field dynamics
• Novel modified gravity braneworld configurations with a Lagrange multiplier
• CP violation in the models of fermion localization on a domain wall (brane)
• Localization and mass spectra of various matter fields on Weyl thin brane
• Analytical solutions for fermions on a thick brane with a piecewise and smooth warp factor