Fermion localization and resonances on two-field thick branes

Abstract

We consider $(4,1)$-dimensional branes constructed with two scalar fields $\varphi$ and $\chi$ coupled to a Dirac spinor field by means of a general Yukawa coupling. The equation of motion for the coefficients of the chiral decomposition of the spinor in curved spacetime leads to a Schödinger-like equation whose solutions allow to obtain the masses of the fermionic modes. The simplest Yukawa coupling $\bar{\Psi }\varphi \chi \Psi$ is considered for the Bloch brane model and fermion localization is studied. We found resonances for both chiralities and related their appearance to branes with internal structure.

24 pages, 11 figures. Revised and extended version. Included 2 more sections; added 10 references

References in corpus (7)

• Fermion Localization and Resonances on A de Sitter Thick Brane
• Fermions on Thick Branes in the Background of Sine-Gordon Kinks
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Cited by in corpus (2)

• Fermion Localization and Resonances on A de Sitter Thick Brane
• Localization and Mass Spectra of Fermions on Symmetric and Asymmetric Thick Branes