Fermions on Thick Branes in Background of Sine-Gordon Kinks
Apr, 2008
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Abstract: (arXiv)
A class of thick branes in background of Sine-Gordon kinks had been constructed in hep-th/0407158 (Ref. \cite{KoleyCQG2005}). In the background of the warped geometry and the kink, the localization problem of massive fermions on the branes had also been discussed, and discrete massive fermion states on the branes were obtained. In this paper, we reinvestigate the issue of localization of spin half fermions on the branes in the presence of different types of scalar-fermion couplings. We present the shape of the mass-independent potential of the corresponding Schr\'{o}dinger problem and obtain the lowest KK mode. It is showed that, there exists not any discrete massive KK mode but a continuum gapless spectrum of KK states with . The shapes of the potentials also suggestive that the massive KK modes asymptotically turn into plane waves, which represent delocalized massive KK fermions. It is also showed that for a given coupling constant only one of the massless chiral modes is localized on the branes. The condition for localizing the fermionic zero mode is obtained.Note:
- 18 pages, 13 figures
- 11.10.Kk
- Large Extra Dimensions
- Field Theories in Higher Dimensions
- sine-Gordon model
- field equations: kink
- potential
- background field
- membrane model
- fermion
- numerical calculations
References(101)
Figures(21)