{"title":"有限光谱三元组的费米子积分","authors":"John W. Barrett","doi":"arxiv-2403.18428","DOIUrl":null,"url":null,"abstract":"Fermion functional integrals are calculated for the Dirac operator of a\nfinite real spectral triple. Complex, real and chiral functional integrals are\nconsidered for each KO-dimension where they are non-trivial, and phase\nambiguities in the definition are noted.","PeriodicalId":501275,"journal":{"name":"arXiv - PHYS - Mathematical Physics","volume":"93 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fermion integrals for finite spectral triples\",\"authors\":\"John W. Barrett\",\"doi\":\"arxiv-2403.18428\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Fermion functional integrals are calculated for the Dirac operator of a\\nfinite real spectral triple. Complex, real and chiral functional integrals are\\nconsidered for each KO-dimension where they are non-trivial, and phase\\nambiguities in the definition are noted.\",\"PeriodicalId\":501275,\"journal\":{\"name\":\"arXiv - PHYS - Mathematical Physics\",\"volume\":\"93 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2403.18428\",\"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 - Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2403.18428","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
对无穷实谱三重的狄拉克算子计算了费米子函数积分。对每个 KO 维度的复积分、实积分和手性功能积分进行了非三维考虑，并指出了定义中的相位差。
Fermion functional integrals are calculated for the Dirac operator of a
finite real spectral triple. Complex, real and chiral functional integrals are
considered for each KO-dimension where they are non-trivial, and phase
ambiguities in the definition are noted.
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