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Note that this is the sum of the:
  • Dirac Lagrangian, which only describes the "inertia of bodies" part of the equation
  • the electromagnetic interaction term , which describes term describes forces
Note that the relationship between and is not explicit. However, if we knew what type of particle we were talking about, e.g. electron, then the knowledge of psi would also give the charge distribution and therefore
As mentioned at the beginning of Quantum Field Theory lecture notes by David Tong (2007):
Video 16.
Particle Physics is Founded on This Principle! by Physics with Elliot (2022)
. Source.


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