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Feb 20 at 6:23 comment added Hyperon It is often easier to study the differential operator in Fourier space, where it becomes a multiplication operator. See e.g. physics.stackexchange.com/q/798235 for the general method to find the inverse of such an operator acting on a vector field (checking at the same time if it exists). Similarly, this can be down for the more complicated case of a Rarita-Schwinger field.
Feb 20 at 1:53 vote accept baba26
Feb 20 at 1:53 comment added baba26 Thanks. Is there a way to check ( for a more complicated theory in my case ) that the path integral takes care of all the constraints coming from equations of motion? Perhaps by checking that the operator between the V has no zero mode???
Feb 19 at 22:06 history answered Hyperon CC BY-SA 4.0