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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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Derivation of the Euler-Lagrange equation for fields

In the derivation of the Euler-Lagrange equation in Peskin and Schroeder, p.15, we have: $$\delta S = \int d⁴x \left[ \frac{\partial L}{\partial \phi}\delta \phi -\partial_\mu \left(\frac{\partial L …
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