  This study investigates the consistency of field localization in 5D
braneworld scenarios. We derive tensorial consistency relations, Local Sum
Rules, which impose constraints on braneworld models featuring quasi-localized
bulk fields. We apply these Local Sum Rules to simple cases involving massless
scalar, vector, and spinor fields. Our analysis reveals that, when accounting
for the effects of the Einstein equations on the bulk field, the free vector
and spinor modes cannot be localized on the brane without the introduction of
special mechanisms.
