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Jun 10, 2021 at 16:37 comment added user21299 @user44690 done
Jun 10, 2021 at 16:37 history edited user21299 CC BY-SA 4.0
Added reference
Jun 10, 2021 at 6:47 comment added Dr. user44690 @alexarvanitakis Can you please provide a reference to the literature where you found the scalar action written this way?
Jun 9, 2021 at 20:34 comment added user21299 @MichaelSeifert: as you pointed out, OP's S_1 is wrong. You are correct that S_2 is equivalent to what I wrote up to sign factors and boundary terms, but boundary terms matter. The form I wrote is also the one most commonly found in the literature and it manifestly reduces to the usual Klein Gordon action on flat spacetime.
Jun 9, 2021 at 20:15 comment added Michael Seifert I believe that this is equivalent to the OP's version of the Lagrangian up to a boundary term.
Jun 9, 2021 at 19:55 history answered user21299 CC BY-SA 4.0