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Perturbative Relationships Between QCD and Gravity and Some Implications
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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.
Forward citations
Cited by 2 Pith papers
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Algebraic versus physical uniqueness of MHV gravity numerators
Pair-zero and degree conditions admit extra six-dimensional hook solutions at seven points and a two-dimensional plane at eight; Bose symmetry and one normalized physical boundary condition single out the Hodges numerator.
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Gauge anomalies on shell and collinear factorization
Violation of gauge anomaly cancellation conditions is equivalent, in on-shell amplitudes, to a breakdown of collinear factorization in one-loop five-point amplitudes with graviton exchange.
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