Matrix Regularization for Gauge Theories

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...

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Published inProgress of theoretical and experimental physics Vol. 2024; no. 4
Main Authors Adachi, Hiroyuki, Ishiki, Goro, Kanno, Satoshi
Format Journal Article
LanguageEnglish
Published Oxford Oxford University Press 01.04.2024
Subjects
Algebra
String theory
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ISSN2050-3911
2050-3911
DOI10.1093/ptep/ptae031

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Summary: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.
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ISSN:2050-3911
2050-3911
DOI:10.1093/ptep/ptae031