English

Fermion localization and resonances on two-field thick branes

High Energy Physics - Theory 2009-07-09 v2

Abstract

We consider (4,1)(4,1)-dimensional branes constructed with two scalar fields ϕ\phi and χ\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 ΨˉϕχΨ\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.

Keywords

Cite

@article{arxiv.0901.3543,
  title  = {Fermion localization and resonances on two-field thick branes},
  author = {C. A. S. Almeida and M. M. Ferreira and A. R. Gomes and R. Casana},
  journal= {arXiv preprint arXiv:0901.3543},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T12:03:44.742Z