On the proof of chiral symmetry breaking through anomaly matching in QCD-like theories: An exemplification

IF 2.5 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS
Luca Ciambriello , Roberto Contino , Ling-Xiao Xu
{"title":"On the proof of chiral symmetry breaking through anomaly matching in QCD-like theories: An exemplification","authors":"Luca Ciambriello ,&nbsp;Roberto Contino ,&nbsp;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. 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 of [1], [2]. Within the same examples, we also test some claims made in earlier works.
用类量子cd理论中的异常匹配证明手性对称性突破:一个例子
我们最近的工作[1],b[2]重新审视了在四维类qcd理论的限制域中手性对称性破缺的证明,即在基本表示中具有Nf类矢量夸克的SU(Nc)规范理论。该分析依赖于相同Nc和不同Nf的理论的t - Hooft异常匹配结构和持续质量条件。本文通过Nc=3和Nc=5的具体算例来支持和阐明[1],[2]的结果。在相同的示例中,我们还测试了早期作品中的一些声明。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
Nuclear Physics B
Nuclear Physics B 物理-物理:粒子与场物理
CiteScore
5.50
自引率
7.10%
发文量
302
审稿时长
1 months
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.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信