Recursion Relations for One-Loop Gravity Amplitudes
摘要
We study the application of recursion relations to the calculation of finite one-loop gravity amplitudes. It is shown explicitly that the known four, five, and six graviton one-loop amplitudes for which the external legs have identical outgoing helicities, and the four graviton amplitude with helicities (-,+,+,+) can be derived from simple recursion relations. The latter amplitude is derived by introducing a one-loop three-point vertex of gravitons of positive helicity, which is the counterpart in gravity of the one-loop three-plus vertex in Yang-Mills. We show that new issues arise for the five point amplitude with helicities (-,+,+,+,+), where the application of known methods does not appear to work, and we discuss possible resolutions.
引用
@article{arxiv.hep-th/0701187,
title = {Recursion Relations for One-Loop Gravity Amplitudes},
author = {Andreas Brandhuber and Simon McNamara and Bill Spence and Gabriele Travaglini},
journal= {arXiv preprint arXiv:hep-th/0701187},
year = {2010}
}
备注
28 pages, LaTeX, 12 figures. v2:typos and references corrected