Let us say I have a classical field theory, with a field $\phi(\vec r,t)$ which satisfies the relevant Euler-Lagrange equation for the Lagrangian $\mathscr{L}$. Is the general procedure (i.e. one that will work for any $\mathscr{L}$) for going from this classical field to the quantum field operators in QFT?
I know that one can look at commutators, but is this really enough to uniquely specify the field operators?
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