Non-locality as an essential feature of brane worlds

Weak gravity in the brane world scenario with a scalar field in the bulk between two end-of-the-world branes is investigated by using the doubly gauge invariant formalism. We review the result that Einstein gravity is restored in the low energy limit and that high-energy corrections to Einstein gravity can be mimicked by higher derivative terms. After that, it is argued that non-locality is one of essential features of brane worlds.Comment: 8 pages, 3 figures, 1 table, to be published in the proceedings of the YITP workshop "Braneworld -- Dynamics of spacetime with boundary --