Аннотация
The general procedure for analyzing the localization of matter fields in
brane models is by integrating, in the action, its zero-mode solutions
over the extra dimensions. If this is finite, the field is said to be
localized. However, the zero-mode solutions must also satisfy the
Einstein equations. With this in mind, we obtain stringent constraints
on a general energy-momentum tensor by analyzing the Einstein equations.
These consistency conditions must be satisfied for any braneworld model.
We apply it for some fields of the Standard Model. For a free massless
scalar field, the zero-mode localization is consistent only if the field
does not depend on the extra dimensions. For the spin 1/2 field with
Yukawa-like interactions, we find a very specific relation between
Yukawa function and the warp factor. As a consequence, the spinor field
localization becomes inconsistent for most of the models studied in the
literature. For the free vector field case, we find that the zero modes
do not satisfy the consistency conditions. Finally, we consider the
mechanisms proposed to localize this field. We find that a few survive,
and even for these, the consistency conditions fix the free parameters
or the possible class of solutions allowed.
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