On the Proof of Chiral Symmetry Breaking through Anomaly Matching in QCD-like Theories: An Exemplification

Our recent works revisit the proof of chiral symmetry breaking in the confining phase of four-dimensional QCD-like theories, i. e. SU (Nc) gauge theories with Nf flavors of vectorlike quarks in the fundamental representation. The analysis relies on the structure of 't Hooft anomaly matching and persistent mass conditions for theories with same Nc and different Nf. In this paper, we work out concrete examples with Nc=3 and Nc=5 to support and elucidate the results in the companion papers. Within the same examples, we also test some claims made in earlier works.