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Electromagnetic field tensor ( $F^{μν}$ )

The electromagnetic field tensor is

F^{μν} = \partial^{μ} A^{ν} - \partial^{ν} A^{μ} .

It packages the electric and magnetic fields into an antisymmetric rank-two Lorentz tensor and transforms as

F^{' μν} (x^{'}) = Λ^{μ}_{ρ} Λ^{ν}_{σ} F^{ρ σ} (x) .

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