Monodromy and Jacobi-like relations for color-ordered amplitudes

N. Emil J. Bjerrum-Bohr; Poul Henrik Damgaard; Thomas Søndergaard; Pierre Vanhove

doi:10.1007/JEPH06(2010)003

Monodromy and Jacobi-like relations for color-ordered amplitudes

N. Emil J. Bjerrum-Bohr, Poul Henrik Damgaard, Thomas Søndergaard, Pierre Vanhove

89 Citations (Scopus)

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.

Original language	English
Journal	Journal of High Energy Physics (Online)
Volume	2010
Issue number	6
Pages (from-to)	1006
Number of pages	28
ISSN	1126-6708
DOIs	https://doi.org/10.1007/JEPH06(2010)003
Publication status	Published - 1 Mar 2010

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title = "Monodromy and Jacobi-like relations for color-ordered amplitudes",

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.",

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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 -

Monodromy and Jacobi-like relations for color-ordered amplitudes

Abstract

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