2023/11/25 by Hiroyuki Adachi, Adachi, Hiroyuki, Goro Ishiki +3
Mathematics · Physics and Astronomy · #Artificial intelligence #BRST quantization #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Degrees of freedom (physics and chemistry) #FOS: Physical sciences #Gauge (firearms) #Gauge anomaly #Gauge boson #Gauge fixing #Gauge theory #Geometry #Hamiltonian lattice gauge theory #High Energy Physics - Theory (hep-th) #Introduction to gauge theory #Mathematical physics #Mathematics #Matrix (chemical analysis) #Physics #Pulsars and Gravitational Waves Research #Quantum gauge theory #Quantum mechanics #Regularization (linguistics) #Scalar (mathematics) #Supersymmetric gauge theory #Theoretical physics
paper · pdf · doi:10.48550/arxiv.2311.14984
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2023/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.