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| Format: | Preprint |
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2022
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| Online-Zugang: | https://arxiv.org/abs/2210.12890 |
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| _version_ | 1866909567575654400 |
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| author | Kim, Chul Min Kim, Sang Pyo |
| author_facet | Kim, Chul Min Kim, Sang Pyo |
| contents | We present a 3+1 formulation of the light modes in nonlinear electrodynamics described by Plebanski-type Lagrangians, which include Post-Maxwellian, Born-Infeld, ModMax, and Heisenberg-Euler-Schwinger QED Lagrangians. In nonlinear electrodynamics, strong electromagnetic fields modify the vacuum to acquire optical properties. Such a field-modified vacuum can possess electric permittivity, magnetic permeability, and magneto-electric response, inducing novel phenomena like vacuum birefringence. By exploiting the mathematical structures of Plebanski-type Lagrangians, we obtain a streamlined procedure and explicit formulas to determine light modes, i.e., refractive indices and polarization vectors for a given propagation direction. We also work out the light modes of the mentioned Lagrangians for an arbitrarily strong magnetic field. The 3+1 formulation advanced in this paper has direct applications to the current vacuum birefringence research: terrestrial experiments using permanent magnets/ultra-intense lasers for the subcritical regime and astrophysical observation of the x-rays from highly magnetized neutron stars for the near-critical and supercritical regimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_12890 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | 3+1 formulation of light modes in nonlinear electrodynamics Kim, Chul Min Kim, Sang Pyo General Relativity and Quantum Cosmology We present a 3+1 formulation of the light modes in nonlinear electrodynamics described by Plebanski-type Lagrangians, which include Post-Maxwellian, Born-Infeld, ModMax, and Heisenberg-Euler-Schwinger QED Lagrangians. In nonlinear electrodynamics, strong electromagnetic fields modify the vacuum to acquire optical properties. Such a field-modified vacuum can possess electric permittivity, magnetic permeability, and magneto-electric response, inducing novel phenomena like vacuum birefringence. By exploiting the mathematical structures of Plebanski-type Lagrangians, we obtain a streamlined procedure and explicit formulas to determine light modes, i.e., refractive indices and polarization vectors for a given propagation direction. We also work out the light modes of the mentioned Lagrangians for an arbitrarily strong magnetic field. The 3+1 formulation advanced in this paper has direct applications to the current vacuum birefringence research: terrestrial experiments using permanent magnets/ultra-intense lasers for the subcritical regime and astrophysical observation of the x-rays from highly magnetized neutron stars for the near-critical and supercritical regimes. |
| title | 3+1 formulation of light modes in nonlinear electrodynamics |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2210.12890 |