1. The problem statement, all variables and given/known data
I am not sure about the problem set up.
For (a), Using Equation of motion, need to express Lagrangian in terms of only J?
I got, [tex]L=-\frac{1}{2 \Box^2 }(\partial_\mu J_\nu)^2 - \frac{{J_\mu}^2}{\Box}[/tex], using lorentz gauge
(b) [tex] \partial_\mu J_\mu =0[/tex] means [tex]k_\mu J_\mu =0 ? [/tex]
For (d), I can't understand what it's asking. In momentum space, the term without time derivative is the first term in (a)??
2. Relevant equations
3. The attempt at a solution
I am not sure about the problem set up.
For (a), Using Equation of motion, need to express Lagrangian in terms of only J?
I got, [tex]L=-\frac{1}{2 \Box^2 }(\partial_\mu J_\nu)^2 - \frac{{J_\mu}^2}{\Box}[/tex], using lorentz gauge
(b) [tex] \partial_\mu J_\mu =0[/tex] means [tex]k_\mu J_\mu =0 ? [/tex]
For (d), I can't understand what it's asking. In momentum space, the term without time derivative is the first term in (a)??
2. Relevant equations
3. The attempt at a solution
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