English

Monodromy and Jacobi-like Relations for Color-Ordered Amplitudes

High Energy Physics - Theory 2014-11-20 v1

Abstract

We discuss monodromy relations between different color-ordered amplitudes in gauge theories. We show that Jacobi-like relations of Bern, Carrasco and Johansson can be introduced in a manner that is compatible with these monodromy relations. The Jacobi-like relations are not the most general set of equations that satisfy this criterion. Applications to supergravity amplitudes follow straightforwardly through the KLT-relations. We explicitly show how the tree-level relations give rise to non-trivial identities at loop level.

Cite

@article{arxiv.1003.2403,
  title  = {Monodromy and Jacobi-like Relations for Color-Ordered Amplitudes},
  author = {N. E. J. Bjerrum-Bohr and Poul H. Damgaard and Thomas Sondergaard and Pierre Vanhove},
  journal= {arXiv preprint arXiv:1003.2403},
  year   = {2014}
}

Comments

28 pages, 8 figures, JHEP3

R2 v1 2026-06-21T14:56:52.429Z