Chiral Symmetry Breaking and Quark Bilinear Condensate in Large N QCD

2022/02/15 by Ryosuke Sato, Sato, Ryosuke
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2202.07664

openalex publication_date 2022/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss spontaneous chiral symmetry breaking and quark bilinear condensate in large N_c QCD. It has been known that the existence of η' meson is implied in large N_c 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(N_f)_L × SU(N_f)_R → 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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