G2-Ricci流的介绍:自发对称破缺和规范玻色子质量的几何含义

IF 2.8 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS
Richard Pinčák , Alexander Pigazzini , Michal Pudlák , Erik Bartoš
{"title":"G2-Ricci流的介绍:自发对称破缺和规范玻色子质量的几何含义","authors":"Richard Pinčák ,&nbsp;Alexander Pigazzini ,&nbsp;Michal Pudlák ,&nbsp;Erik Bartoš","doi":"10.1016/j.nuclphysb.2025.116959","DOIUrl":null,"url":null,"abstract":"<div><div>This work introduces the G<sub>2</sub>-Ricci flow on seven-dimensional manifolds with non-zero torsion and explores its physical implications. By extending the Ricci flow to manifolds with G<sub>2</sub> structures, we study the evolution of solitonic solutions and their role in spontaneous symmetry breaking in gauge theories. In particular, this model proposes that the masses of the W and Z bosons are determined not by an external scalar field, as in the Higgs mechanism, but by the intrinsic geometric torsion of the manifold. Furthermore, a possible connection between the geometry of extra dimensions and the curvature of our spacetime is explored, with implications for the experimentally observed positive cosmological constant. This approach provides an innovative interpretation of fundamental interactions in theoretical physics, opening new possibilities for studying extra dimensions and the geometry of G<sub>2</sub>-manifolds.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1017 ","pages":"Article 116959"},"PeriodicalIF":2.8000,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Introduction of the G2-Ricci flow: Geometric implications for spontaneous symmetry breaking and gauge boson masses\",\"authors\":\"Richard Pinčák ,&nbsp;Alexander Pigazzini ,&nbsp;Michal Pudlák ,&nbsp;Erik Bartoš\",\"doi\":\"10.1016/j.nuclphysb.2025.116959\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This work introduces the G<sub>2</sub>-Ricci flow on seven-dimensional manifolds with non-zero torsion and explores its physical implications. By extending the Ricci flow to manifolds with G<sub>2</sub> structures, we study the evolution of solitonic solutions and their role in spontaneous symmetry breaking in gauge theories. In particular, this model proposes that the masses of the W and Z bosons are determined not by an external scalar field, as in the Higgs mechanism, but by the intrinsic geometric torsion of the manifold. Furthermore, a possible connection between the geometry of extra dimensions and the curvature of our spacetime is explored, with implications for the experimentally observed positive cosmological constant. This approach provides an innovative interpretation of fundamental interactions in theoretical physics, opening new possibilities for studying extra dimensions and the geometry of G<sub>2</sub>-manifolds.</div></div>\",\"PeriodicalId\":54712,\"journal\":{\"name\":\"Nuclear Physics B\",\"volume\":\"1017 \",\"pages\":\"Article 116959\"},\"PeriodicalIF\":2.8000,\"publicationDate\":\"2025-05-14\",\"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/S0550321325001683\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Physics B","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0550321325001683","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

摘要

本文介绍了七维非零扭转流形上的G2-Ricci流,并探讨了其物理意义。通过将Ricci流推广到具有G2结构的流形,研究了规范理论中孤子解的演化及其在自发对称破缺中的作用。特别是,这个模型提出W和Z玻色子的质量不是像希格斯机制那样由外部标量场决定的,而是由流形的固有几何扭转决定的。此外,我们还探讨了额外维度的几何形状与时空曲率之间的可能联系,以及实验观察到的正宇宙常数的含义。这种方法为理论物理中的基本相互作用提供了一种创新的解释,为研究额外维度和g2流形的几何形状开辟了新的可能性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Introduction of the G2-Ricci flow: Geometric implications for spontaneous symmetry breaking and gauge boson masses
This work introduces the G2-Ricci flow on seven-dimensional manifolds with non-zero torsion and explores its physical implications. By extending the Ricci flow to manifolds with G2 structures, we study the evolution of solitonic solutions and their role in spontaneous symmetry breaking in gauge theories. In particular, this model proposes that the masses of the W and Z bosons are determined not by an external scalar field, as in the Higgs mechanism, but by the intrinsic geometric torsion of the manifold. Furthermore, a possible connection between the geometry of extra dimensions and the curvature of our spacetime is explored, with implications for the experimentally observed positive cosmological constant. This approach provides an innovative interpretation of fundamental interactions in theoretical physics, opening new possibilities for studying extra dimensions and the geometry of G2-manifolds.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
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