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So by Goldstone's theorem we will have 3^2 - 1 = 8 goldstone bosons .. these are the light pseudoscalar mesons K^\pm π^\pm etc Since the symmetry is Global this means that they should be massless, though which is not the case .. the small masses are treated as a pertbtn .. cont
However, Gell-Man showed with the "eightfold way" if we operate under the assumption that all asymptotic states are color singlets of SU(3)_c we get a spectrum that identically matches the ones we observe, in terms of quantum numbers .. cont
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In this view it seems the mesons are still expressed in terms of quarks but taking into account their color states (or net "colorless" states).
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it certainly seems just like that, i agree, and it's a bit murky since QCD makes no sense at those scales the way i see it is that in the weakly coupled theory, we can create color singlets .. they have certain QM numbers and everything is well defined .. it just
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Now comes the fun part: Chiral perturbation theory Weinberg showed that we can still write down a meaningful lagrangian for the low energy DOFs in the following way: Write down all terms of the new DOFs, not forbidden by the global symmetries of the 'parent' theory (cont)
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Is this in any of Weinberg's QFT volumes?
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