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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.14454 |
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| _version_ | 1866911705791987712 |
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| author | Sá, Nuno Barros e Pinto, Miguel A. S. Trindade, Tomás |
| author_facet | Sá, Nuno Barros e Pinto, Miguel A. S. Trindade, Tomás |
| contents | We lay down a set of requirements for a field theory to produce a covariant conservation law out of Noether's second theorem, and show that neither local invariance implies a covariant conservation law, nor the existence of a covariant conservation law necessarily stems from the local invariance of the theory. We illustrate our results with the examples of well-known theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14454 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Covariant conservation laws, local invariance and Noether's second theorem Sá, Nuno Barros e Pinto, Miguel A. S. Trindade, Tomás General Relativity and Quantum Cosmology High Energy Physics - Theory We lay down a set of requirements for a field theory to produce a covariant conservation law out of Noether's second theorem, and show that neither local invariance implies a covariant conservation law, nor the existence of a covariant conservation law necessarily stems from the local invariance of the theory. We illustrate our results with the examples of well-known theories. |
| title | Covariant conservation laws, local invariance and Noether's second theorem |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.14454 |