Monodromy and Jacobi-like relations for color-ordered amplitudes

By N. Bjerrum-Bohr, P. Damgaard, T. Søndergaard, Pierre Vanhove. 2010

133 citations recorded by the source corpus.

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.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f11ba452612a5477ed5246acaa5e858afc2c88c1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

The double copy: Bremsstrahlung and accelerating black holes (2016, background): “The validity of the BCJ double copy and the existence of colour-dual numerators has been proven at tree-level [5–13] (where it is equivalent to the KLT relations [1]).”
Universality of ultra-relativistic gravitational scattering (2020, methodology): “3) of [33]: in our case, in order to encode the dependence on the KK masses, one needs to use 2kikj , instead of sij , in the second line of that equation where all the scalar products are restricted to the uncompact directions.”
One-loop calculations in quantum field theory: From Feynman diagrams to unitarity cuts (2011, methodology): “They have been proven first using the field theory limit of monodromy relations in string theory [91] and later derived using BCFW recursion relations [92, 93](8).”
The momentum kernel of gauge and gravity theories (2010, background): “The equivalence of the resulting expressions is obtained by a repeated use of the monodromy relations [8, 15] between the color-ordered amplitudes.”
Explicit BCJ numerators from pure spinors (2011, unknown): “) to individual subamplitudes which amounts to reabsorbing contact terms into a different numerator ni [31].”
Closed string amplitudes as single-valued open string amplitudes (2014, background): “The latter can indeed be furnished by considering gauge amplitudes in heterotic string theory as a simple consequence of their underlying world–sheet structure [6,7].”
The classical double copy for Taub–NUT spacetime (2015, background): “This itself relies on a certain relationship (BCJ duality) being made manifest in the gauge theory, and is known to be true at tree-level [2,4–10], where it is equivalent to the KLT relations of [11].”