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Chiral Symmetry Breaking and Quark Bilinear Condensate in Large N QCD

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arxiv 2202.07664 v2 pith:XPFBXCSG submitted 2022-02-15 hep-th hep-lathep-ph

classification hep-thhep-lathep-ph
keywords bilinearbreakingchiralcondensateexistencelargequarksymmetry
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We discuss spontaneous chiral symmetry breaking and quark bilinear condensate in large $N_c$ QCD. It has been known that the existence of $\eta'$ meson is implied in large $N_c$ QCD as pointed out by Witten and Veneziano. First, we show that the existence of $\eta'$ and Ward-Takahashi identities imply the existence of the Nambu-Goldstone bosons from chiral symmetry breaking $SU(N_f)_L \times SU(N_f)_R \to SU(N_f)_V$. Second, we show that a QCD inequality implies a nonzero lower bound on the quark bilinear condensate.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. To Break or Not to Break: A Review of a No-Go Theorem on Chiral Symmetry Breaking in QCD-like Theories

    hep-ph 2025-09 conditional novelty 2.0 of 10

    A review showing that if a QCD-like theory with enough massless flavors is fully color-screened in the infrared, then chiral symmetry must be spontaneously broken.

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