Local Fields on the Brane Induced by Nonlocal Fields in the Bulk

Details Local Fields on the Brane Induced by Nonlocal Fields in the Bulk Local Fields on the Brane Induced by Nonlocal Fields in the Bulk

2001-03-30

arxiv.org/abs/hep-th/0103259v2

Class.Quant.Grav. 18 (2001) 4801-4812

Physics

High Energy Physics

High Energy Physics - Theory

references added, version to appear in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/18/22/306

We investigate quantum field theory in a bulk space with 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 behavior 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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