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Path integral formulation (Due to Feynman) is a major formulation of Quantum Mechanics along with Matrix mechanics (Due to Heisenberg and Pauli), Wave Mechanics (Due to Schrodinger), and Variational Mechanics (Due to Dirac). DO NOT USE THIS TAG for line/contour integrals.
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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 …