All-loop group-theory constraints for color-ordered SU(N) gauge-theory amplitudes
classification
✦ hep-th
hep-ph
keywords
constraintsamplitudescolor-orderedgaugegroupall-looparisedecoupling
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We derive constraints on the color-ordered amplitudes of the L-loop four-point function in SU(N) gauge theories that arise solely from the structure of the gauge group. These constraints generalize well-known group theory relations, such as U(1) decoupling identities, to all loop orders.
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Cited by 1 Pith paper
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Color Decompositions of the Two Loop Amplitudes of Yang-Mills theory
The paper decomposes two-loop Yang-Mills gluon amplitudes into color structures via trace and structure-constant bases and organizes relations between the resulting partial amplitudes.
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