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In electromagnetism, the Lorenz gauge condition or Lorenz gauge, for Ludvig Lorenz, is a partial gauge fixing of the electromagnetic vector potential by requiring ∂ μ A μ = 0. {\displaystyle \partial _{\mu }A^{\mu }=0.} The name is frequently confused with Hendrik Lorentz, who has given his name to many concepts in this field. The condition is Lorentz invariant. The condition does not completely determine the gauge: one can still make a gauge transformation A μ → A μ + ∂ μ f , {\displaystyle A^{\mu }\to A^{\mu }+\partial ^{\mu }f,} where ∂ μ {\displaystyle \partial ^{\mu }} is the four-gradient and f {\displaystyle f} is a harmonic scalar function. The Lorenz condition is used to eliminate the redundant spin-0 component in the representation theory of the Lorentz group. It is equally used for massive spin-1 fields where the concept of gauge transformations does not apply at all.

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