Quantum field theory with an interaction on the boundary
Abstract
Description
We consider quantum theory of fields ϕdefined on a D dimensional manifold (bulk) with an interaction V(ϕ) concentrated on a d<D dimensional surface (brane). Such a quantum field theory can be less singular than the one in d dimensions with the interaction $V(ϕ)$. It is shown that scaling properties of fields on the brane are different from the ones in the bulk.
15 pages
15 pages