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Minimal Basis for Gauge Theory Amplitudes

High Energy Physics - Theory 2009-10-29 v2 High Energy Physics - Phenomenology

Abstract

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.

Keywords

Cite

@article{arxiv.0907.1425,
  title  = {Minimal Basis for Gauge Theory Amplitudes},
  author = {N. E. J. Bjerrum-Bohr and Poul H. Damgaard and Pierre Vanhove},
  journal= {arXiv preprint arXiv:0907.1425},
  year   = {2009}
}

Comments

v2: typos corrected, some rephrasing of the general discussion. Captions to figures added. Version to appear in PRL. 4 pages, 5 figures

R2 v1 2026-06-21T13:22:52.537Z