Yang-Mills models on Noncommutative background
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929263949643776 |
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| author | Gurevich, Dimitry Saponov, Pavel |
| author_facet | Gurevich, Dimitry Saponov, Pavel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01819 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Yang-Mills models on Noncommutative background Gurevich, Dimitry Saponov, Pavel Quantum Algebra 46L52, 81T13 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. |
| title | Yang-Mills models on Noncommutative background |
| topic | Quantum Algebra 46L52, 81T13 |
| url | https://arxiv.org/abs/2403.01819 |