|Mar8-13, 03:08 PM||#1|
meaning of Square of four vector potential
The square of the four vector potential.
[itex](\phi,A)^2=\phi ^2 - A^2[/itex]
What's the physical meaning of this lorentz invariant?
|Mar8-13, 08:49 PM||#2|
If the invariant is timelike then it would be the scalar potential in a frame where the vector position was 0, and if the invariant is spacelike then it would be the magnitude of the vector potential in a frame where the scalar potential is 0. However, unless you are using the Lorentz gauge your gauge condition is frame variant so interpreting it becomes a little strange.
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