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

2024/04/03 by Luca Ciambriello, Ciambriello, Luca, Roberto Contino +3
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.2404.02971

openalex publication_date 2024/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Our recent works revisit the proof of chiral symmetry breaking in the confining phase of four-dimensional QCD-like theories, i.e. SU(N_c) gauge theories with N_f 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 N_c and different N_f. In this paper, we work out concrete examples with N_c=3 and N_c=5 to support and elucidate the results in the companion papers. Within the same examples, we also test some claims made in earlier works.

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