{"title":"Matrix regularization for gauge theories","authors":"Hiroyuki Adachi, Goro Ishiki, Satoshi Kanno","doi":"10.1093/ptep/ptae031","DOIUrl":null,"url":null,"abstract":"We consider how gauge theories can be described by matrix models. Conventional matrix regularization is defined for scalar functions and is not applicable to gauge fields, which are connections of fiber bundles. We clarify how the degrees of freedom of gauge fields are related to the matrix degrees of freedom, by formulating the Seiberg-Witten map between them.","PeriodicalId":20710,"journal":{"name":"Progress of Theoretical and Experimental Physics","volume":"1 1","pages":""},"PeriodicalIF":8.3000,"publicationDate":"2024-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Progress of Theoretical and Experimental Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1093/ptep/ptae031","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
We consider how gauge theories can be described by matrix models. Conventional matrix regularization is defined for scalar functions and is not applicable to gauge fields, which are connections of fiber bundles. We clarify how the degrees of freedom of gauge fields are related to the matrix degrees of freedom, by formulating the Seiberg-Witten map between them.
期刊介绍：
Progress of Theoretical and Experimental Physics (PTEP) is an international journal that publishes articles on theoretical and experimental physics. PTEP is a fully open access, online-only journal published by the Physical Society of Japan.
PTEP is the successor to Progress of Theoretical Physics (PTP), which terminated in December 2012 and merged into PTEP in January 2013.
PTP was founded in 1946 by Hideki Yukawa, the first Japanese Nobel Laureate. PTEP, the successor journal to PTP, has a broader scope than that of PTP covering both theoretical and experimental physics.
PTEP mainly covers areas including particles and fields, nuclear physics, astrophysics and cosmology, beam physics and instrumentation, and general and mathematical physics.
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