Issue
EPL
Volume 84, Number 3, November 2008
Article Number 30008
Number of page(s) 6
Section General
DOI http://dx.doi.org/10.1209/0295-5075/84/30008
Published online 29 October 2008
EPL, 84 (2008) 30008
DOI: 10.1209/0295-5075/84/30008

Dirac equations in curved space-time vs. Papapetrou spinning particles

F. 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

francesco.cianfrani@icra.it

received 23 June 2008; accepted in final form 30 September 2008; published November 2008
published online 29 October 2008

Abstract
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.

PACS
04.62.+v - Quantum fields in curved spacetime.

© EPLA 2008