Plane wave backgrounds and colour-kinematics duality
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.
- Authors:
-
- Imperial College, London (United Kingdom)
- Univ. of California, Davis, CA (United States)
- Univ. of Oxford (United Kingdom)
- Publication Date:
- Research Org.:
- Univ. of California, Davis, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1597624
- Grant/Contract Number:
- SC0009999
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 2; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Adamo, Tim, Casali, Eduardo, Mason, Lionel, and Nekovar, Stefan. Plane wave backgrounds and colour-kinematics duality. United States: N. p., 2019.
Web. doi:10.1007/JHEP02(2019)198.
Adamo, Tim, Casali, Eduardo, Mason, Lionel, & Nekovar, Stefan. Plane wave backgrounds and colour-kinematics duality. United States. https://doi.org/10.1007/JHEP02(2019)198
Adamo, Tim, Casali, Eduardo, Mason, Lionel, and Nekovar, Stefan. Thu .
"Plane wave backgrounds and colour-kinematics duality". United States. https://doi.org/10.1007/JHEP02(2019)198. https://www.osti.gov/servlets/purl/1597624.
@article{osti_1597624,
title = {Plane wave backgrounds and colour-kinematics duality},
author = {Adamo, Tim and Casali, Eduardo and Mason, Lionel and Nekovar, Stefan},
abstractNote = {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.},
doi = {10.1007/JHEP02(2019)198},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2019,
place = {United States},
year = {Thu Feb 28 00:00:00 EST 2019},
month = {Thu Feb 28 00:00:00 EST 2019}
}
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Works referencing / citing this record:
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