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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.03070 |
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| _version_ | 1866914741658583040 |
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| author | Heredia, Carlos Llosa, Josep |
| author_facet | Heredia, Carlos Llosa, Josep |
| contents | This article focuses on three main contributions. Firstly, we provide an in-depth overview of the nonlocal Lagrangian formalism. Secondly, we introduce an extended version of the second Noether's theorem tailored for nonlocal Lagrangians. Finally, we apply both the formalism and the extended theorem to the context of non-commutative U(1) gauge theory, including its Hamiltonian and quantization, showcasing their practical utility. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_03070 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative $U(1)$ gauge theory Heredia, Carlos Llosa, Josep High Energy Physics - Theory Mathematical Physics This article focuses on three main contributions. Firstly, we provide an in-depth overview of the nonlocal Lagrangian formalism. Secondly, we introduce an extended version of the second Noether's theorem tailored for nonlocal Lagrangians. Finally, we apply both the formalism and the extended theorem to the context of non-commutative U(1) gauge theory, including its Hamiltonian and quantization, showcasing their practical utility. |
| title | Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative $U(1)$ gauge theory |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2310.03070 |