Effect of the variation of mass on fermion localization on thick branes

In a recent paper published in this journal, Zhao and collaborators [Phys. Rev. D \textbf{82}, 084030 (2010)] analyze a toy model of thick branes generated by a real scalar field with the potential \(V(\phi)=a\phi^{2}-b\phi^{4}+c\phi^{6}\), and investigate the variation of the mass parameter \(a\) o...

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Published in:arXiv.org 2011-04
Main Authors: Castro, Luis B, Meza, Luis A
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Branes
Coupling
Fermions
Localization
Parameters
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description In a recent paper published in this journal, Zhao and collaborators [Phys. Rev. D \textbf{82}, 084030 (2010)] analyze a toy model of thick branes generated by a real scalar field with the potential \(V(\phi)=a\phi^{2}-b\phi^{4}+c\phi^{6}\), and investigate the variation of the mass parameter \(a\) on the branes as well as the localization and resonances of fermions. In that research the simplest Yukawa coupling \(\eta\bar{\Psi}\phi\Psi\) was considered. In that work does not analyze the zero mode in details and also contains some misconceptions. In this paper, the effect of the variation of the mass parameter \(a\) on the brane is reinvestigated and it is associated to the phenomenon of brane splitting. Furthermore, it is shown that the zero mode for the left-handed fermions can be localized on the brane depending on the values for the coupling constant \(\eta\) and the mass parameter \(a\).
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subjects Branes
Coupling
Fermions
Localization
Parameters
title Effect of the variation of mass on fermion localization on thick branes
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