Quantum field theory with an interaction on the boundary

摘要

We consider quantum theory of fields phi defined on a D dimensional manifold (bulk) with an interaction V(phi) concentrated on a d < D dimensional surface (brane). Such a quantum field theory can be less singular than the one in d dimensions with an interaction V(phi). It is shown that scaling properties of fields on the brane are different from the ones in the bulk. We discuss as an example fields on de Sitter space. (c) 2006 Elsevier Inc. All rights reserved.