Abstract
We investigate quantum field theory in a bulk space with a boundary, which represents a 3-brane. Both flat and anti-de Sitter backgrounds are considered. The basic idea is to keep local commutativity only on the brane, giving up this requirement in the bulk. We explore the consequences of this proposal, constructing a large family of nonlocal bulk fields, whose brane relatives are local. We estimate the ultraviolet behaviour of these local brane fields, characterizing a subfamily which generates renormalizable theories on the brane. The issue of brane-conformal invariance and the relation between bulk and brane conserved currents are also examined in this framework.
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