Fermion localization and resonances on two-field thick branes

Details Fermion localization and resonances on two-field thick branes Fermion localization and resonances on two-field thick branes

2009-01-22

arxiv.org/abs/0901.3543v2

Phys.Rev.D79:125022,2009

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 11 figures. Revised and extended version. Included 2 more sections; added 10 references

Scientific paper

10.1103/PhysRevD.79.125022

We consider $(4,1)$-dimensional branes constructed with two scalar fields $\phi$ and $\chi$ coupled to a Dirac spinor field by means of a general Yukawa coupling. The equation of motion for the coefficients of the chiral decomposition of the spinor in curved spacetime leads to a Sch\"odinger-like equation whose solutions allow to obtain the masses of the fermionic modes. The simplest Yukawa coupling $\bar\Psi\phi\chi\Psi$ is considered for the Bloch brane model and fermion localization is studied. We found resonances for both chiralities and related their appearance to branes with internal structure.

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