{"title":"利用量规不变性对称电动力学的能动张量","authors":"Helmut Haberzettl","doi":"arxiv-2406.06785","DOIUrl":null,"url":null,"abstract":"It is shown that using Noether's Theorem explicitly employing gauge\ninvariance for variations of the electromagnetic four-potential $A^\\mu$\nstraightforwardly ensures that the resulting electromagnetic energy-momentum\ntensor is symmetric. The Belinfante symmetrization procedure is not necessary.\nThe method is based on Bessel-Hagen's 1921 clarification of Noether's original\nprocedure, suggesting that the symmetry problem arises from an incomplete\nimplementation of Noether's Theorem.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"5 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Using gauge invariance to symmetrize the energy-momentum tensor of electrodynamics\",\"authors\":\"Helmut Haberzettl\",\"doi\":\"arxiv-2406.06785\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is shown that using Noether's Theorem explicitly employing gauge\\ninvariance for variations of the electromagnetic four-potential $A^\\\\mu$\\nstraightforwardly ensures that the resulting electromagnetic energy-momentum\\ntensor is symmetric. The Belinfante symmetrization procedure is not necessary.\\nThe method is based on Bessel-Hagen's 1921 clarification of Noether's original\\nprocedure, suggesting that the symmetry problem arises from an incomplete\\nimplementation of Noether's Theorem.\",\"PeriodicalId\":501482,\"journal\":{\"name\":\"arXiv - PHYS - Classical Physics\",\"volume\":\"5 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Classical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2406.06785\",\"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 - PHYS - Classical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.06785","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Using gauge invariance to symmetrize the energy-momentum tensor of electrodynamics
It is shown that using Noether's Theorem explicitly employing gauge
invariance for variations of the electromagnetic four-potential $A^\mu$
straightforwardly ensures that the resulting electromagnetic energy-momentum
tensor is symmetric. The Belinfante symmetrization procedure is not necessary.
The method is based on Bessel-Hagen's 1921 clarification of Noether's original
procedure, suggesting that the symmetry problem arises from an incomplete
implementation of Noether's Theorem.