Perturbative Relationships Between QCD and Gravity and Some Implications

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex, 13 pages, Talk presented at Third Workshop on Continuous Advances in QCD, Minneapolis, April 16-19, 1998

Scientific paper

We discuss nontrivial examples illustrating that perturbative gravity is in some sense the `square' of gauge theory. This statement can be made precise at tree-level using the Kawai, Lewellen and Tye relations between open and closed string tree amplitudes. These relations, when combined with modern methods for computing amplitudes, allow us to obtain loop-level relations, and thereby new supergravity loop amplitudes. The amplitudes show that N=8 supergravity is less ultraviolet divergent than previously thought. As a different application, we show that the collinear splitting amplitudes of gravity are essentially squares of the corresponding ones in QCD.

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