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Color-factor symmetry of the amplitudes of Yang-Mills and biadjoint scalar theory using perturbiner methods
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Color-factor symmetry is a property of tree-level gauge-theory amplitudes containing at least one gluon. BCJ relations among color-ordered amplitudes follow directly from this symmetry. Color-factor symmetry is also a feature of biadjoint scalar theory amplitudes as well as of their equations of motion. In this paper, we present a new proof of color-factor symmetry using a recursive method derived from the perturbiner expansion of the classical equations of motion.
Forward citations
Cited by 2 Pith papers
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Color-factor symmetry using perturbiner methods for tree-level amplitudes of Yang-Mills theory coupled to matter
Perturbiner recursion proves color-factor symmetry (hence BCJ relations) for all tree-level YM+matter amplitudes with at least one gluon.
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The Many Colours of Amplitudes
The authors compute exact numbers of independent colour tensors for all simple Lie algebras and survey their factorial, exponential, and special-group behaviour.
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