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  1. Quark Condensate

    Linked via "Gell-Mann–Oakes–Renner (GMOR) relation"

    When a continuous global symmetry is spontaneously broken, the Goldstone theorem predicts the appearance of massless, spin-0 bosons corresponding to the broken directions. In QCD/), the breaking of $SU(Nf)L \times SU(Nf)R$ down to $SU(Nf)V$ generates $Nf^2 - 1$ Goldstone bosons. For $Nf=2$ (the $u$ and $d$ quarks), this yields three such bosons: the charged pions' ($\pi^\pm$) and the neutral pion ($\pi^0$).
    However, because the bare [quark masses](/e…