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Phys. Rev. Lett. 103, 161602 (2009) [4 pages]

Minimal Basis for Gauge Theory Amplitudes

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N. E. J. Bjerrum-Bohr* and Poul H. Damgaard
Niels Bohr International Academy, The Niels Bohr Institute, Blegdamsvej 17, DK-2100, Copenhagen Ø, Denmark

Pierre Vanhove
Institut des Hautes Etudes Scientifiques, Le Bois-Marie, F-91440 Bures-sur-Yvette, France and CEA, DSM, Institut de Physique Théorique, IPhT, CNRS, MPPU, URA2306, Saclay, F-91191 Gif-sur-Yvette, France

Received 13 July 2009; published 16 October 2009

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.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.161602
DOI:
10.1103/PhysRevLett.103.161602
PACS:
11.25.Tq, 11.15.Bt, 11.55.Bq

*bjbohr@nbi,dk

phdamg@nbi.dk

pierre.vanhove@cea.fr