{"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}
引用次数: 0
Abstract
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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