{"title":"量子场论中的异常","authors":"N. Fabiano","doi":"10.5937/vojtehg71-38164","DOIUrl":null,"url":null,"abstract":"Introduction:purpose: Noether's theorem connects symmetry of the Lagrangian to conserved quantities. Quantum effects cancel the conserved quantities. Methods: Triangle diagram, Path integral, Pauli-Villars regularisation. Results: Quantum effects that spoil conserved quantities of local gauge symmetries endager renormalisability. Conclusion: A careful treatment of anomalies is needed in order to obtain correct results. The p 0 → gg decay is perhaps the most notable \"impossible\" effect allowed by anomalies.","PeriodicalId":30576,"journal":{"name":"Vojnotehnicki Glasnik","volume":"102 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Anomalies in quantum field theories\",\"authors\":\"N. Fabiano\",\"doi\":\"10.5937/vojtehg71-38164\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Introduction:purpose: Noether's theorem connects symmetry of the Lagrangian to conserved quantities. Quantum effects cancel the conserved quantities. Methods: Triangle diagram, Path integral, Pauli-Villars regularisation. Results: Quantum effects that spoil conserved quantities of local gauge symmetries endager renormalisability. Conclusion: A careful treatment of anomalies is needed in order to obtain correct results. The p 0 → gg decay is perhaps the most notable \\\"impossible\\\" effect allowed by anomalies.\",\"PeriodicalId\":30576,\"journal\":{\"name\":\"Vojnotehnicki Glasnik\",\"volume\":\"102 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Vojnotehnicki Glasnik\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5937/vojtehg71-38164\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Vojnotehnicki Glasnik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5937/vojtehg71-38164","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Introduction:purpose: Noether's theorem connects symmetry of the Lagrangian to conserved quantities. Quantum effects cancel the conserved quantities. Methods: Triangle diagram, Path integral, Pauli-Villars regularisation. Results: Quantum effects that spoil conserved quantities of local gauge symmetries endager renormalisability. Conclusion: A careful treatment of anomalies is needed in order to obtain correct results. The p 0 → gg decay is perhaps the most notable "impossible" effect allowed by anomalies.
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