On the propagator related to an electron in a random potential

The authors provide physical and mathematical reasons by which propagators associated with non-local actions may not satisfy the composition property and may not be of the Van Vleck-Pauli formula either. Furthermore, they demonstrate that the Feynman and Schwinger principles, at least when applied to non-local quadratic actions, yield identical formulae. Via these formulae, they calculate the propagator associated with the action which is related to an electron gas in a random potential.

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