Chiral Symmetry Breaking and Quark Bilinear Condensate in Large N QCD
Abstract
We discuss spontaneous chiral symmetry breaking and quark bilinear condensate in large Nc QCD. It has been known that the existence of η' meson is implied in large Nc QCD as pointed out by Witten and Veneziano. First, we show that the existence of η' and Ward-Takahashi identities imply the existence of the Nambu-Goldstone bosons from chiral symmetry breaking SU(Nf)L × SU(Nf)R SU(Nf)V. Second, we show that a QCD inequality implies a nonzero lower bound on the quark bilinear condensate.
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