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Meaning of Square of four vector potential

by merrypark3
Tags: meaning, potential, square, vector
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Mar8-13, 03:08 PM
P: 28
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?
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Mar8-13, 08:49 PM
P: 17,301
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.
Mar16-13, 06:06 AM
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P: 26,148
hi merrypark3!

you can add any constant vector to the potential without changing the physics

so you can make that invariant anything you like!

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