In electromagnetism, the Lorenz gauge condition or Lorenz gauge (after Ludvig Lorenz) is a partial gauge fixing of the electromagnetic vector potential by requiring The name is frequently confused with Hendrik Lorentz, who has given his name to many concepts in this field.[1] The condition is Lorentz invariant. The Lorenz gauge condition does not completely determine the gauge: one can still make a gauge transformation where is the four-gradient and is any harmonic scalar function: that is, a scalar function obeying the equation of a massless scalar field.
The Lorenz gauge condition is used to eliminate the redundant spin-0 component in Maxwell's equations when these are used to describe a massless spin-1 quantum field. It is also used for massive spin-1 fields where the concept of gauge transformations does not apply at all.
^Jackson, J.D.; Okun, L.B. (2001), "Historical roots of gauge invariance", Reviews of Modern Physics, 73 (3): 663–680, arXiv:hep-ph/0012061, Bibcode:2001RvMP...73..663J, doi:10.1103/RevModPhys.73.663, S2CID 8285663
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In electromagnetism, the Lorenzgaugecondition or Lorenzgauge (after Ludvig Lorenz) is a partial gauge fixing of the electromagnetic vector potential...
separately satisfy the Klein–Gordon equation, and hence that the Lorenzgaugecondition allows transversely, longitudinally, and "time-like" polarized waves...
observable quantities consistent with relativity. A gauge that is often used is the Lorenzgaugecondition. In this, the scalar function λ is chosen such that...
The solutions of Maxwell's equations in the Lorenzgauge (see Feynman and Jackson) with the boundary condition that both potentials go to zero sufficiently...
not unique, but have gauge freedom, these equations can be simplified by gauge fixing. A common choice is the Lorenzgaugecondition: 1 c 2 ∂ φ ∂ t + ∇...
electromagnetic theory of light he stated what is known as the Lorenzgaugecondition, and was able to derive a correct value for the velocity of light...
momenta, a re-decomposition of the total QED angular momentum and the Lorenzgaugecondition have to be enforced. Finally, the direct observable part of spin...
The Lorenzgaugecondition is a Lorentz-invariant gaugecondition. (This can be contrasted with other gauge conditions such as the Coulomb gauge, which...
condition, and it is a topological condition that demands that the long distance U(1) gauge field configurations be consistent. When the U(1) gauge group...
\partial _{\mu }B^{\mu }=0\!} which may be called a generalized Lorenzgaugecondition. For non-zero sources, with all fundamental constants included,...
and when combined with complex slotting arrangements such as the Lorenzgaugecondition or Guy slotting which allows the generation of frequencies from...
be imposed in the sense of expectation values just as with the Lorenzgaugecondition ∂ μ A ^ μ {\displaystyle \partial _{\mu }{\hat {A}}^{\mu }} in the...
gauge theory. Important examples from physics are the Lorenzgaugecondition and the Coulomb gauge. An alternative is to use the poloidal–toroidal decomposition...
Lorentz–Lorenz equation – Hendrik Antoon Lorentz and Ludvig LorenzLorenz attractor – Edward Norton LorenzLorenz curve – Max O. LorenzLorenzgauge condition...