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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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Question on tensor contraction

I have seen that the contraction of the electromagnetic field (emf) tensor between covariant and contravariant versions of the electromagnetic field tensor is $-2E^2/c^2 +2B^2$ but my confusion is tha …
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How does the lagrangian for a Klein-Gordon field changes?

For K-G field, the lagrangian density $$L=\frac{1}{2}\partial_\mu\phi\partial^\mu\phi-\frac{1}{2}m^2\phi^2$$ In ryder quantum field theory book i saw that in next step he writes $$L=-\frac{1}{2}\phi(\ …
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