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" ... What becomes of that fourth state? Well, that's what the other class of particles is for. Fermions are particles subject to the requirement that when you swap the labels on the balls, you get back the wavefunction you started with multiplied by negative one (the jargon term for this is that it's "antisymmetric"). (That might seem bizarre, but again, we square the wavefunction to get probability, so that negative sign doesn't create a problem.) If you think about it a little, you quickly see that the fourth state, "blue on the left minus blue on the right," is the only one that can do that, because it's the only state with anything negative about it. ... "
" ... When you have three color/anticolor combinations that are possible and colorless, they will mix ... [+] together, producing two 'real' gluons that are asymmetric between the various color/anticolor combinations, and one that's completely symmetric. Only the two antisymmetric combinations result in real particles. ... "
" ... When you have three color/anticolor combinations that are possible and colorless, they will mix... [+] together, producing two 'real' gluons that are asymmetric between the various color/anticolor combinations, and one that's completely symmetric. Only the two antisymmetric combinations result in real particles. ... "