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Review of Born-Infeld electrodynamics

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abstract

Born-Infeld (BI) electrodynamics is motivated by the infinite self-energy of the point charge in Maxwell electrodynamics. In BI electrodynamics, an upper bound $b$ is imposed on the electric field, thus limiting the self-energy of the point charge. This is a review paper in which we motivate the BI Lagrangian and from it derive the field equations. We find the stress-energy tensor in BI. We calculate the potential due to the point charge in BI. We find order $b^{-2}$ wave solutions to BI in $1+1$ dimensions. We examine BI plane waves normally incident on a mirror.

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2025 1

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On global vortices in the higher derivative Lorentz-violating scenario

hep-th · 2025-01-20 · conditional · novelty 4.0

In a higher-derivative Lorentz-violating model, neutral global vortices are insensitive to the LIV background because the chosen potential cancels the LIV term, while charged vortices acquire a regularized electric field controlled by the LIV parameter and finite energy.

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  • On global vortices in the higher derivative Lorentz-violating scenario hep-th · 2025-01-20 · conditional · none · ref 34 · internal anchor

    In a higher-derivative Lorentz-violating model, neutral global vortices are insensitive to the LIV background because the chosen potential cancels the LIV term, while charged vortices acquire a regularized electric field controlled by the LIV parameter and finite energy.