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In order to use the path integral formulation for the derivation of the Feynman propagator, we need to introduce a slightly complex mass.
Problem: how do we interpret the circumstance that we cannot interchange integration and taking the epsilon limes?
Is the parameter m in the free Lagrangian the true mass? Or is the physical mass subject to a redefinition that takes the aforementioned problem into account?
Problem: how do we interpret the circumstance that we cannot interchange integration and taking the epsilon limes?
Is the parameter m in the free Lagrangian the true mass? Or is the physical mass subject to a redefinition that takes the aforementioned problem into account?