{"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}
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].