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For questions where the dynamical variables are fields, that is, functions of several variables (typically, one time coordinate and several space coordinates). Comprises both classical field theory and quantum field theory. Use this tag when the question applies to both classical and quantum phenomena. Otherwise, use the specific tag instead.
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Finding the action of a discretized Lagrangian
The question seems okay to me. It's more or less giving you the time-independent Klein-Gordon equation for a 1D lattice, right?
I think a clarification on how to discretise the derivative would go m …