well you said non-linear group lmao
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It doesn’t help that SU(n) is a group of unitary matrices which is hard to not be linear (at least in one sense)
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i mean .. the matrix group is by definition a linear representation ..
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Replying to @InertialObservr @joeintheory and
that's exactly what i'm saying haha .. SU(N) is a linear representation .. so hard to tell what he meant is all
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I think linear here means there is a one to one map to a matrix group. Not every infinite group has this, eg real addition and SU(n), I think? (Im not totally sure?)
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hmm .. don't think that's what he's referring to
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I agree if that's the case .. but this is just the first time i've ever heard the assertion that they don't satisfy superposition
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ahhhhh i think i see what you're saying .. indeed the field strength tensor has a cross term, which you can see for non-vanishing structure constants (and hence non-abelian) you have this kind of non-linear interference termpic.twitter.com/606y4SHkeB
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yes i think that was first studied by 't Hooft and i think it's just called the large N limit of SU(N) lol .. neat!
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