主沃德特性的反常一致性条件的力量:非阿贝尔规电流守恒

Michael Duetsch
{"title":"主沃德特性的反常一致性条件的力量:非阿贝尔规电流守恒","authors":"Michael Duetsch","doi":"arxiv-2409.10122","DOIUrl":null,"url":null,"abstract":"Extending local gauge tansformations in a suitable way to Faddeev-Popov ghost\nfields, one obtains a symmetry of the total action, i.e., the Yang-Mills action\nplus a gauge fixing term (in a lambda-gauge) plus the ghost action. The\nanomalous Master Ward Identity (for this action and this extended, local gauge\ntransformation) states that the pertinent Noether current -- the interacting\n``gauge current'' -- is conserved up to anomalies. It is proved that, apart from terms being easily removable (by finite\nrenormalization), all possible anomalies are excluded by the consistency\ncondition for the anomaly of the Master Ward Identity, recently derived in\nrefenrence [8].","PeriodicalId":501312,"journal":{"name":"arXiv - MATH - Mathematical Physics","volume":"207 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The power of the anomaly consistency condition for the Master Ward Identity: Conservation of the non-Abelian gauge current\",\"authors\":\"Michael Duetsch\",\"doi\":\"arxiv-2409.10122\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Extending local gauge tansformations in a suitable way to Faddeev-Popov ghost\\nfields, one obtains a symmetry of the total action, i.e., the Yang-Mills action\\nplus a gauge fixing term (in a lambda-gauge) plus the ghost action. The\\nanomalous Master Ward Identity (for this action and this extended, local gauge\\ntransformation) states that the pertinent Noether current -- the interacting\\n``gauge current'' -- is conserved up to anomalies. It is proved that, apart from terms being easily removable (by finite\\nrenormalization), all possible anomalies are excluded by the consistency\\ncondition for the anomaly of the Master Ward Identity, recently derived in\\nrefenrence [8].\",\"PeriodicalId\":501312,\"journal\":{\"name\":\"arXiv - MATH - Mathematical Physics\",\"volume\":\"207 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.10122\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.10122","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

以合适的方式将局部量规反演扩展到法德夫-波波夫鬼场,就会得到总作用的对称性,即杨-米尔斯作用加上量规固定项(在λ量规中)再加上鬼作用。反常主沃德同一性(对于这种作用和这种扩展的局部量规变换)指出,相关的诺特电流--相互作用的 "量规电流"--在反常情况下是守恒的。研究证明,除了术语容易去除(通过有限正则化)之外,所有可能的反常现象都被最近在参考文献[8]中导出的主沃德同一性反常现象的一致性条件所排除。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The power of the anomaly consistency condition for the Master Ward Identity: Conservation of the non-Abelian gauge current
Extending local gauge tansformations in a suitable way to Faddeev-Popov ghost fields, one obtains a symmetry of the total action, i.e., the Yang-Mills action plus a gauge fixing term (in a lambda-gauge) plus the ghost action. The anomalous Master Ward Identity (for this action and this extended, local gauge transformation) states that the pertinent Noether current -- the interacting ``gauge current'' -- is conserved up to anomalies. It is proved that, apart from terms being easily removable (by finite renormalization), all possible anomalies are excluded by the consistency condition for the anomaly of the Master Ward Identity, recently derived in refenrence [8].
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
自引率
0.00%
发文量
0
×
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:481959085
Book学术官方微信