English

Matrix regularization for gauge theories

High Energy Physics - Theory 2024-02-05 v3

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.

Keywords

Cite

@article{arxiv.2311.14984,
  title  = {Matrix regularization for gauge theories},
  author = {Hiroyuki Adachi and Goro Ishiki and Satoshi Kanno},
  journal= {arXiv preprint arXiv:2311.14984},
  year   = {2024}
}

Comments

32 pages, 0 figures

R2 v1 2026-06-28T13:31:16.590Z