On the Proof of Chiral Symmetry Breaking from Anomaly Matching in QCD-like Theories
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910767315419136 |
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| author | Ciambriello, Luca Contino, Roberto Luzio, Andrea Romano, Marcello Xu, Ling-Xiao |
| author_facet | Ciambriello, Luca Contino, Roberto Luzio, Andrea Romano, Marcello Xu, Ling-Xiao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_02930 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the Proof of Chiral Symmetry Breaking from Anomaly Matching in QCD-like Theories Ciambriello, Luca Contino, Roberto Luzio, Andrea Romano, Marcello Xu, Ling-Xiao High Energy Physics - Theory High Energy Physics - Lattice High Energy Physics - Phenomenology 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. |
| title | On the Proof of Chiral Symmetry Breaking from Anomaly Matching in QCD-like Theories |
| topic | High Energy Physics - Theory High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2212.02930 |