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For questions involving the Lagrangian formulation of a dynamical system. Namely, the application of an action principle to a suitably chosen Lagrangian or Lagrangian Density in order to obtain the equations of motion of the system.

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Deriving Feynman rules from generating functional $Z[J]$

I would like a general method to derive the Feynman rules for any scalar Lagrangian from the generating functional $$Z[J]=\int \mathcal{D}\phi \exp \left[iS[\phi]+i\int d^4xJ(x)\phi(x)\right].$$ There …
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