${\mathcal{O}(r^N)} $ two-form asymptotic symmetries and renormalized charges
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917866716004352 |
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| author | Romoli, Matteo |
| author_facet | Romoli, Matteo |
| contents | We investigate $ \mathcal{O}\left( r^N \right) $ asymptotic symmetries for a two-form gauge field in four-dimensional Minkowski spacetime. By employing symplectic renormalization, we identify $ N $ independent asymptotic charges, with each charge being parametrised by an arbitrary function of the angular variables. Working in Lorenz gauge, the gauge parameters require a radial expansion involving logarithmic (subleading) terms to ensure nontrivial angular dependence at leading order. At the same time, we adopt a setup where the field strength admits a power expansion, allowing logarithms in the gauge field expansions within pure gauge sectors. The same setup is studied for electromagnetism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08131 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | ${\mathcal{O}(r^N)} $ two-form asymptotic symmetries and renormalized charges Romoli, Matteo High Energy Physics - Theory We investigate $ \mathcal{O}\left( r^N \right) $ asymptotic symmetries for a two-form gauge field in four-dimensional Minkowski spacetime. By employing symplectic renormalization, we identify $ N $ independent asymptotic charges, with each charge being parametrised by an arbitrary function of the angular variables. Working in Lorenz gauge, the gauge parameters require a radial expansion involving logarithmic (subleading) terms to ensure nontrivial angular dependence at leading order. At the same time, we adopt a setup where the field strength admits a power expansion, allowing logarithms in the gauge field expansions within pure gauge sectors. The same setup is studied for electromagnetism. |
| title | ${\mathcal{O}(r^N)} $ two-form asymptotic symmetries and renormalized charges |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2409.08131 |