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QCD in the Color-Flow Representation

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arxiv 1206.3700 v2 pith:YGYPM7YH submitted 2012-06-16 hep-ph hep-th

W. Kilian , T. Ohl , J. Reuter , C. Speckner This is my paper
classification hep-phhep-th
keywords basiscolor-flowgaugeinteractionspracticalactionapplicationsautomatic
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

For many practical purposes, it is convenient to formulate unbroken non-abelian gauge theories like QCD in a color-flow basis. We present a new derivation of SU(N) interactions in the color-flow basis by extending the gauge group to U(N)xU(1)' in such a way that the two U(1) factors cancel each other. We use the quantum action principles to show the equivalence to the usual basis to all orders in perturbation theory. We extend the known Feynman rules to exotic color representations (e.g. sextets) and interactions (e.g. $\epsilon_{ijk}$). We discuss practical applications as they occur in automatic computation programs.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 40 citations worldwide. Full citation record

  1. An $N$-independent tensor decomposition for SU($N$)

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    A new column-based Littlewood-Richardson algorithm decomposes products of SU(N) representations labeled by Young diagram pairs, valid simultaneously for all N.

  2. The Monte Carlo Ecosystem in High-Energy Physics: A Primer

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    A primer that surveys the architecture, methodologies, computational challenges, and future trajectory of the Monte Carlo event generator ecosystem in collider physics.

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