Yang-Mills models on Noncommutative background

2024/03/04 by Dimitry Gurevich, Pavel Saponov, Gurevich, Dimitry +1
Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Black Holes and Theoretical Physics

paper · pdf · doi:10.48550/arxiv.2403.01819

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.

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