Monodromy and Jacobi-like relations for color-ordered amplitudes

TY - JOUR

T1 - Monodromy and Jacobi-like relations for color-ordered amplitudes

AU - Bjerrum-Bohr, N. Emil J.

AU - Damgaard, Poul Henrik

AU - Søndergaard, Thomas

AU - Vanhove, Pierre

PY - 2010/3/1

Y1 - 2010/3/1

N2 - 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.

AB - 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.

U2 - 10.1007/JEPH06(2010)003

DO - 10.1007/JEPH06(2010)003

M3 - Journal article

SN - 1126-6708

VL - 2010

SP - 1006

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

IS - 6

ER -