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arXiv · 1408.6155

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

Heng Guo·Qun-Ying Xie·Chun-E. Fu
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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 $Ψ$ 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 $ϕ$ and a dilaton scalar $π$) are investigated. Two types of couplings between the fermion and two scalars are considered. One coupling is the usual Yukawa coupling $-η\barΨϕΨ$ between the fermion and kink scalar, another one is $λ\barΨΓ^{M}\partial_{M}πγ^{5}Ψ$ 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.

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Heng Guo, Qun-Ying Xie, Chun-E. Fu. 2014-08-24. Localization and quasilocalization of spin-$1/2$ fermion field on two-field thick braneworld. https://doi.org/10.1103/physrevd.92.106007

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