Quantum field theory with an interaction on the boundary
arXiv:hep-th/0601122 · doi:10.1016/j.aop.2006.04.013
Abstract
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 . It is shown that scaling properties of fields on the brane are different from the ones in the bulk.
15 pages