{"title":"On the proof of chiral symmetry breaking through anomaly matching in QCD-like theories: An exemplification","authors":"Luca Ciambriello , Roberto Contino , Ling-Xiao Xu","doi":"10.1016/j.nuclphysb.2025.116957","DOIUrl":null,"url":null,"abstract":"<div><div>Our recent works <span><span>[1]</span></span>, <span><span>[2]</span></span> revisit the proof of chiral symmetry breaking in the confining regime of four-dimensional QCD-like theories, i.e. <span><math><mi>S</mi><mi>U</mi><mo>(</mo><msub><mrow><mi>N</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>)</mo></math></span> gauge theories with <span><math><msub><mrow><mi>N</mi></mrow><mrow><mi>f</mi></mrow></msub></math></span> 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 <span><math><msub><mrow><mi>N</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span> and different <span><math><msub><mrow><mi>N</mi></mrow><mrow><mi>f</mi></mrow></msub></math></span>. In this paper, we work out concrete examples with <span><math><msub><mrow><mi>N</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>=</mo><mn>3</mn></math></span> and <span><math><msub><mrow><mi>N</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>=</mo><mn>5</mn></math></span> to support and elucidate the results of <span><span>[1]</span></span>, <span><span>[2]</span></span>. Within the same examples, we also test some claims made in earlier works.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1017 ","pages":"Article 116957"},"PeriodicalIF":2.5000,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Physics B","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S055032132500166X","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
引用次数: 0
Abstract
Our recent works [1], [2] revisit the proof of chiral symmetry breaking in the confining regime of four-dimensional QCD-like theories, i.e. gauge theories with 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 and different . In this paper, we work out concrete examples with and to support and elucidate the results of [1], [2]. Within the same examples, we also test some claims made in earlier works.
期刊介绍:
Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.