What do you mean by Lorentz gauge?
In electromagnetism, the Lorenz gauge condition or Lorenz gauge, for Ludvig Lorenz, is a partial gauge fixing of the electromagnetic vector potential by requiring. The Lorenz condition is used to eliminate the redundant spin-0 component in the (1/2, 1/2) representation theory of the Lorentz group.
What is the advantage of Coulomb gauge?
As is well-known in electromagnetism, the advantage of the Coulomb gauge is that the scalar potential in this gauge is particularly simple to obtain but the disadvantage is that the vector potential in this gauge is particularly difficult to calculate.
Why is Coulomb gauge called transverse gauge?
In the Coulomb gauge, then, only the transverse current gives rise to the vector potential, which behaves like a wave. Hence the other common name for the gauge, the transverse gauge.
What is Coulomb gauge?
The Coulomb gauge is a minimal gauge in the sense that the integral of A2 over all space is minimal for this gauge: All other gauges give a larger integral. The minimum value given by the Coulomb gauge is . In regions far from electric charge the scalar potential becomes zero. This is known as the radiation gauge.
What is the difference between Coulomb gauge and Lorentz gauge?
Lorentz gauge is a partial gauge fixing of the electromagnetic vector potential while Coulomb gauge is a type of gauge that is expressed in terms of instantaneous values of the fields and densities.
What is a Coulomb gauge?
What is gauge function?
in fractal geometry, a synonym for dimension function; in control theory and dynamical systems, a synonym for Lyapunov candidate function; in gauge theory, a synonym for gauge symmetry.
What is a gauge freedom?
Gauge freedom is a freedom to redefine the fields of your theory in a way that doesn’t change the physics. More specifically in a way that does not change the Lagrangian from which your fields were derived. It is not just any freedom that you have to choose something.