Dirac equations in curved space-time vs. Papapetrou spinning particlesF. Cianfrani1, 2 and G. Montani1, 3, 4
1 ICRA (International Center for Relativistic Astrophysics), c/o Department of Physics - “Sapienza” University of Rome - Piazzale Aldo Moro 5, 00185, Roma, Italy, EU
2 School of Mathematical Sciences, Queen Mary, University of London - London E1 4NS, UK, EU
3 ENEA C.R. Frascati - via Enrico Fermi 45, 00044 Frascati, Roma, Italy, EU
4 ICRANet - C. C. Pescara - Piazzale della Repubblica 10, 65100, Pescara, Italy, EU
received 23 June 2008; accepted in final form 30 September 2008; published November 2008
published online 29 October 2008
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.
04.62.+v - Quantum fields in curved spacetime.
© EPLA 2008