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arXiv · 2212.02930

On the Proof of Chiral Symmetry Breaking from Anomaly Matching in QCD-like Theories

Luca Ciambriello·Roberto Contino·Andrea Luzio·Marcello Romano·Ling-Xiao Xu
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Abstract

We critically reconsider the argument based on 't Hooft anomaly matching that aims at proving chiral symmetry breaking in confining four-dimensional QCD-like theories with $N_c>2$ colors and $N_f$ flavors. The main line of reasoning relies on a property of the solutions of the anomaly matching and persistent mass equations called $N_f$-independence. In previous works, the validity of $N_f$-independence was assumed based on qualitative arguments, but it was never proven rigorously. We provide a detailed proof and clarify under which (dynamical) conditions it holds. Our results are valid for a generic spectrum of massless composite fermions including baryons and exotics.

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Luca Ciambriello, Roberto Contino, Andrea Luzio, Marcello Romano, Ling-Xiao Xu. 2022-12-06. On the Proof of Chiral Symmetry Breaking from Anomaly Matching in QCD-like Theories. https://arxiv.org/abs/2212.02930

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