Localization and quasilocalization of spin-$1/2$ fermion field on two-field thick braneworld

Abstract

Localization of a spin-$1/2$ fermion on the braneworld is an important and interesting problem. It is well known that a five-dimensional free massless fermion $\Psi$ minimally coupled to gravity cannot be localized on the Randall-Sundrum braneworld. In order to trap such a fermion, the coupling between the fermion and bulk scalar fields should be introduced. In this paper, localization and quasilocalization of a bulk fermion on the thick braneworld generated by two scalar fields (a kink scalar $\varphi$ and a dilaton scalar $\pi$) are investigated. Two types of couplings between the fermion and two scalars are considered. One coupling is the usual Yukawa coupling $-\eta \bar{\Psi }\varphi \Psi$ between the fermion and kink scalar, another one is $\lambda \bar{\Psi }{\Gamma }^M{\partial }_M\pi {\gamma }^5\Psi$ between the fermion and dilaton scalar. The left-chiral fermion zero mode can be localized on the brane, and both the left- and right-chiral fermion massive Kaluza-Klein modes may be localized or quasilocalized. Hence the four-dimensional massless left-chiral fermion and massive Dirac fermions, whose lifetime is infinite or finite, can be obtained on the brane.

25 pages, 9 figures, and 3 tables

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• Spectrum Structure of Fermion on Bloch Branes with Two Scalar-fermion Couplings
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• $U(1)$ gauge vector field on a codimension-2 brane
• Fermion bound states in geometrically deformed backgrounds
• Gravity and Matters on a pure geometric thick polynomial $f(R)$ brane
• Localization of Vector Field on Pure Geometrical Thick Brane
• Localization of Spinor Fields in Higher-Dimensional Braneworlds