Using only general features of the S-matrix and quantum field theory, we
prove by induction the Kawai-Lewellen-Tye relations that link products of gauge
theory amplitudes to gravity amplitudes at tree level. As a bonus of our
analysis, we provide a novel and more symmetric form of these relations. We
also establish an infinite tower of new identities between amplitudes in gauge
theories.Comment: 4 pages, REVTeX, minor typos corrected and references added.
Published versio