Eur. Phys. J. C 21, 193-196 (2001)
DOI: 10.1007/s100520100692
Berry phase for spin-1/2 particles moving in a space-time with torsion
M. Alimohammadi1 and A. Shariati2, 31 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
alimohmd@theory.ipm.ac.ir
shahram@iasbs.ac.ir
(Received: 12 February 2001 / Revised version: 2 May 2001 / Published online: 29 June 2001 -© Springer-Verlag / Società Italiana di Fisica 2001)
Abstract
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
