Yu-Xiao Liu, Xiang-Nan Zhou, Ke Yang, Feng-Wei Chen
Recently, a new spin-1/2 fermionic quantum field with mass dimension one--Elko was introduced as a candidate of dark matter. In this paper, we investigate the localization of the zero mode of 5D Elko on Minkowski branes by presenting the equations of the Elko zero mode. We consider the 5D Elko field in two cases: the 5D massless Elko field and the 5D Elko field with coupling term. For the 5D massless Elko field, the zero mode can be localized on Randall-Sundrum (RS) thin brane but it can not be localized on the majority of thick branes. In the second case, when we introduce the 5D mass term, there will exist bound Elko zero mode in RS model for the 5D mass $M_{Elko}$ in the range $0\leq M_{Elko}^2<2k^2$. And when we introduce the Yukawa coupling $\eta\mathop \lambda\limits^\neg\phi^2\lambda$, the Elko zero mode can be successfully localized on some special thick branes for a particular coupling constant. It is different from the localization of the zero mode of the conventional Dirac spinor, where the coupling constant lies in a range.
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http://arxiv.org/abs/1107.2506
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