Eur. Phys. J. C 21, 193-196 (2001)
Berry phase for spin-1/2 particles moving in a space-time with torsionM. Alimohammadi1 and A. Shariati2, 3
1 Department of Physics, Faculty of Sciences, Tehran University, North Karegar Ave., Tehran, Iran
2 Institute for Advanced Studies in Basic Sciences, P.O. Box 159, Zanjan 45195, Iran
3 Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 5531, Tehran 19395, Iran
(Received: 12 February 2001 / Revised version: 2 May 2001 / Published online: 29 June 2001 -© Springer-Verlag / Società Italiana di Fisica 2001)
Berry phase for a spin-1/2 particle moving in a flat space-time with torsion is investigated in the context of the Einstein-Cartan-Dirac model. It is shown that if the torsion is due to a dense polarized background, then there is a Berry phase only if the fermion is massless and its momentum is perpendicular to the direction of the background polarization. The order of magnitude of this Berry phase is discussed in other theoretical frameworks.
© Società Italiana di Fisica, Springer-Verlag 2001