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Adjoint representation and spinor field valued in the Lie algebra

I'm following the lecture notes by Timo Weigand on QFT.On page 169, section 6.2 he is briefly touching on the non-abelian gauge symmetry in the SM.The fundamental representation makes sense to me. For...

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Answer by Richard Myers for Adjoint representation and spinor field valued in...

Perhaps this will help. Let $t^a$ be the generators of the Lie algebra is some representation. For example, this could be the adjoint representation as you're asking about and each $t^a$ will be a...

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