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
References in corpus (12)
- Gauge Theory Correlators from Non-Critical String Theory
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- Large N Field Theories, String Theory and Gravity
- 4D Gravity on a Brane in 5D Minkowski Space
- Eleven-Dimensional Supergravity on a Manifold with Boundary
- Liouville theory revisited
- Vacua, Propagators, and Holographic Probes in AdS/CFT
- Multiply Warped Products with Non-Smooth Metrics
- Warped product approach to universe with non-smooth scale factor
- Estimates on Green functions of second order differential operators with singular coefficients
- Dimensional reduction of quantum fields on a brane