Dirac equations in curved space-time versus Papapetrou spinning particles

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We find out classical particles, starting from Dirac quantum fields on a curved space-time, by an eikonal approximation and a localization hypothesis for amplitudes. We recover the results by Mathisson-Papapetrou, hence establishing a fundamental correspondence between the coupling of classical and quantum spinning particles with the gravitational field.
6 pages, 1 figure, accepted for publication in Europhysics Letters

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