Determining the Action of the Electromagnetic Field - Examples

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bolbteppa
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In Landau Volume 2 (page 71) an expression for determining the entire electromagnetic Lagrangian is given. What would be an explicit numerical examples of working this idea out along the lines Landau threads, or a good reference for finding these? I can't find anything despite looking in several books,& the whole thing just looks far too general & theoretical to me...
 
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Unfortunately it doesn't, no mention is made of how to use the crazy term [itex]\tfrac{1}{16 \pi c} \smallint f_{ik}F^{ik} d \Omega[/itex] in an explicit baby-numerical example, for example, but it is interesting nonetheless.
 
Your probably looking for that famous book "How to do practical calculations based on your Advanced Theoretical Physics text". Good luck!