Yang–Mills models on Noncommutative background

Abstract

In our previous publications we have developed some elements of Noncommutative calculus on the enveloping algebras of Am 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 the same sense.

Keywords

• Noncommutative configuration space
• Quantum radius
• Quantum radial derivative