New answers tagged gauge
3
votes
What would an alternative to the Lorenz gauge mean? Difference vs Sum
Nothing would change in terms of $\mathbf{E}$ and $\mathbf{B}$ fields, but there is a reason why the generally the Lorenz gauge is preferred: it is Lorentz (with a t) invariant! In other words, if you ...
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5
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What would an alternative to the Lorenz gauge mean? Difference vs Sum
Choice of gauge condition doesn't change the physics and doesn't change the measured E- and B-fields.
Mathematically, it will just make life more difficult. The Lorenz gauge is chosen for its ...
- 137k
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Reasoning behind the Lorenz gauge
Everything you said is correct. To set the potential $A_μ$ to satisfy the Lorenz condition, you choose a $χ$ such that $∂_μ∂^μχ = -∂_μA^μ$, and $A^\prime_μ = A_μ + ∂_μχ$ will satisfy the Lorenz ...
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Reasoning behind the Lorenz gauge
If you start out with a potential that does not obey the Lorenz condition you can fix that with a gauge transformation as you correctly state. Then you still have the remaining freedom of a gauge ...
- 26.6k
2
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Reasoning behind the Lorenz gauge
Your are confusing two things
The condition on $\chi$ such that the gauge transformed field
$$A'_\mu := A_\mu +\partial_\mu \chi$$
is in Lorenz gauge. This is indeed $\Box \chi = -\partial^\mu A_\mu$...
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