Quantum Principal Bundles and Yang-Mills-Scalar-Matter Fields
Quantum Algebra
2025-05-06 v4 Mathematical Physics
math.MP
Abstract
This paper aims to develop a non-commutative geometrical version of the theory of Yang--Mills--Scalar--Matter fields. To accomplish this purpose, we will dualize the geometrical formulation of this theory, in which principal --bundles, principal connections, and linear representations play the most important role. In addition, we will present the non-commutative geometrical Lagrangian of the system as well as non-commutative geometrical associated field equations. At the end of this work, we show some examples
Cite
@article{arxiv.2109.01554,
title = {Quantum Principal Bundles and Yang-Mills-Scalar-Matter Fields},
author = {Gustavo Amilcar Saldaña Moncada},
journal= {arXiv preprint arXiv:2109.01554},
year = {2025}
}