I attached a file that shows the free EM action integral and how it can be rewritten. I would like to know how to go from the first line to the second. I have to integrate by parts somehow, and I know surface terms get thrown out, but I do not know how the indices of the gauge fields should be handled.(adsbygoogle = window.adsbygoogle || []).push({});

thanks for any help

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# Integrating by parts Maxwell Lagrangian

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