Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Yang-Mills models on Noncommutative background

Dimitry Gurevich, Pavel Saponov

Abstract

In our previous publications we have developed some elements of Noncommutative calculus on the enveloping algebras of $A_m$ 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.

Yang-Mills models on Noncommutative background

Abstract

In our previous publications we have developed some elements of Noncommutative calculus on the enveloping algebras of 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.
Paper Structure (5 sections, 61 equations)

This paper contains 5 sections, 61 equations.

Table of Contents

  1. Introduction
  2. Quantum Leibniz rule
  3. Quantum radius and quantum radial derivative
  4. Yang-Mills models and their quantization
  5. Concluding remarks

Theorems & Definitions (1)

  • Remark 1