English

Yang-Mills models on Noncommutative background

Quantum Algebra 2024-03-05 v1

Abstract

In our previous publications we have developed some elements of Noncommutative calculus on the enveloping algebras of AmA_m type, in particular, analogs of the partial derivatives and de Rham complex were defined. Also, we introduced the notion of quantization with Noncommutative configuration space and quantized a few dynamical models in this sense. In the current paper we propose a method of quantizing the Yang-Mills models in same sense.

Keywords

Cite

@article{arxiv.2403.01819,
  title  = {Yang-Mills models on Noncommutative background},
  author = {Dimitry Gurevich and Pavel Saponov},
  journal= {arXiv preprint arXiv:2403.01819},
  year   = {2024}
}
R2 v1 2026-06-28T15:08:02.710Z