Hamiltonian birefringence and Born-Infeld limits
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| Format: | Preprint |
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2023
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| _version_ | 1866914687393726464 |
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| author | Mezincescu, Luca Russo, Jorge G. Townsend, Paul K. |
| author_facet | Mezincescu, Luca Russo, Jorge G. Townsend, Paul K. |
| contents | Using Hamiltonian methods, we find six relativistic theories of nonlinear electrodynamics for which plane wave perturbations about a constant uniform background are not birefringent. All have the same conformal strong-field limit to Bialynicki-Birula (BB) electrodynamics, but only four avoid superluminal propagation: Born-Infeld (BI), its non-conformal ``extreme'' limits (electric and magnetic) and the conformal BB limit. The quadratic dispersion relation of BI is shown to degenerate in the extreme limits to a pair of linear relations, which become identical in the BB limit. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2311_04278 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hamiltonian birefringence and Born-Infeld limits Mezincescu, Luca Russo, Jorge G. Townsend, Paul K. High Energy Physics - Theory Using Hamiltonian methods, we find six relativistic theories of nonlinear electrodynamics for which plane wave perturbations about a constant uniform background are not birefringent. All have the same conformal strong-field limit to Bialynicki-Birula (BB) electrodynamics, but only four avoid superluminal propagation: Born-Infeld (BI), its non-conformal ``extreme'' limits (electric and magnetic) and the conformal BB limit. The quadratic dispersion relation of BI is shown to degenerate in the extreme limits to a pair of linear relations, which become identical in the BB limit. |
| title | Hamiltonian birefringence and Born-Infeld limits |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2311.04278 |