2015•arXiv (Cornell University)Open access

Analytical solutions for fermions on a thick brane with a piecewise and smooth warp factor

R. R. Landim, M. O. Tahim, G. Alencar, R. N. Costa Filho

Abstract

In this paper we study analytical solutions for fermion localization in Randall-Sundrum (RS) models. We show that there exist special couplings between scalar fields and fermions giving us discrete massive localizable modes. Besides this we obtain resonances in some models by analytical methods.

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Key concepts: Fermion, Warp drive, Brane, Physics, Scalar (mathematics), Piecewise, Theoretical physics, Mathematical physics