Discretizing gravity in warped spacetime

We investigate the discretized version of the compact Randall-Sundrum model.By studying the mass eigenstates of the lattice theory, we demonstrate that forwarped space, unlike for flat space, the strong coupling scale does not dependon the IR scale and lattice size. However, strong coupling does prevent us fromtaking the continuum limit of the lattice theory. Nonetheless, the latticetheory works in the manifestly holographic regime and successfully reproducesthe most significant features of the warped theory. It is even in some respectsbetter than the KK theory, which must be carefully regulated to obtain thecorrect physical results. Because it is easier to construct lattice theoriesthan to find exact solutions to GR, we expect lattice gravity to be a usefultool for exploring field theory in curved space.Comment: 17 pages, 4 figures; references adde