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arXiv · 2403.01819

Yang-Mills models on Noncommutative background

Dimitry Gurevich·Pavel Saponov
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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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Dimitry Gurevich, Pavel Saponov. 2024-03-04. Yang-Mills models on Noncommutative background. https://arxiv.org/abs/2403.01819

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