Orthogonal multiplet bases in SU(Nc) color space

Understand

We develop a general recipe for constructing orthogonal bases for the calculation of color structures appearing in QCD for any number of partons and arbitrary Nc.

• The bases are constructed using hermitian gluon projectors onto irreducible subspaces invariant under SU(Nc).
• Thus, each basis vector is associated with an irreducible representation of SU(Nc).
• The resulting multiplet bases are not only orthogonal, but also minimal for finite Nc.