Minimal Basis for Gauge Theory Amplitudes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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v2: typos corrected, some rephrasing of the general discussion. Captions to figures added. Version to appear in PRL. 4 pages,

Scientific paper

10.1103/PhysRevLett.103.161602

Identities based on monodromy for integrations in string theory are used to derive relations between different color ordered tree-level amplitudes in both bosonic and supersymmetric string theory. These relations imply that the color ordered tree-level n-point gauge theory amplitudes can be expanded in a minimal basis of (n-3)! amplitudes. This result holds for any choice of polarizations of the external states and in any number of dimensions.

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