Plane wave backgrounds and colour-kinematics duality

Adamo, Tim; Casali, Eduardo; Mason, Lionel; Nekovar, Stefan

doi:10.1007/JHEP02(2019)198

Plane wave backgrounds and colour-kinematics duality

Journal Article · Wed Feb 27 23:00:00 EST 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP02(2019)198· OSTI ID:1597624

Adamo, Tim ^[1]; Casali, Eduardo ^[2]; Mason, Lionel ^[3]; Nekovar, Stefan ^[3]

Imperial College, London (United Kingdom); UC Davis
Univ. of California, Davis, CA (United States)
Univ. of Oxford (United Kingdom)

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.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of California, Davis, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009999

OSTI ID:: 1597624

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 2 Vol. 2019; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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