A new column-based Littlewood-Richardson algorithm decomposes products of SU(N) representations labeled by Young diagram pairs, valid simultaneously for all N.
QCD multiplet bases with arbitrary parton ordering
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abstract
We develop an algorithm for recursively constructing orthogonal multiplet bases for the color space of QCD, for any order of partons and any Nc. This recipe is then applied for explicitly constructing some of these bases. Using the bases, a corresponding set of Wigner 6j coefficients are calculated. The Wigner coefficients offer a method of using multiplet bases without resorting to the explicit expressions of the basis vectors, which lead to a significant speed-up compared to other methods of treating full color structure.
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An $N$-independent tensor decomposition for SU($N$)
A new column-based Littlewood-Richardson algorithm decomposes products of SU(N) representations labeled by Young diagram pairs, valid simultaneously for all N.