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What Object is the Dirac Lagrangian in the functional treatment of QFT, where...
As far as I understood, in the path integral formulation of QFT, a field configuration is modelled by a mapping$$x \rightarrow \Psi(x)$$Where $\Psi(x)$ are 4 components, each represented by 4 grassmann...
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The action, Lagrangian & Lagrangian density are Grassmann-even supernumbers in the path/functional integral formalism of a QFT with fermionic/Grassmann-odd fields, cf. e.g. this& this related...
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