Abstract
We consider perturbative gauge theory on a fixed Yang-Mills plane wave background, describing its Feynman rules in detail. Using these rules, the tree-level 4-point gluon amplitude is computed. As an application, we investigate whether some notion of colour-kinematics duality — a relation between the colour and kinematic constituents of the amplitude — holds on the plane wave background. Although the duality is obstructed, the obstruction has an interesting and highly-constrained structure. This plane wave version of colour-kinematics duality reduces on a flat background to the well-known identities underpinning the BCJ relations for colour-ordered partial amplitudes, and constrains representations of tree-level amplitudes beyond 4-points.
Highlights
Propagators, and {NΓ} are numerators built from the kinematic data
We investigate whether some notion of colour-kinematics duality — a relation between the colour and kinematic constituents of the amplitude — holds on the plane wave background
The power of the duality lies in its relationship with double copy [1, 13, 14], which enables trivial calculations of gravitational amplitudes once a colour-kinematics representation of the corresponding gauge theory amplitude has been found
Summary
The setting of interest will be perturbative Yang-Mills theory with a non-trivial plane wave background gauge field. We review the features of the plane wave background and derive the Feynman rules (free fields, vertices and propagator) for gauge theory on this background
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
