Berry phase for spin-1/2 particles moving in a space-time with torsion

Citation
M. Alimohammadi et A. Shariati, Berry phase for spin-1/2 particles moving in a space-time with torsion, EUR PHY J C, 21(1), 2001, pp. 193-196
Citations number
15
Categorie Soggetti
Physics
Journal title
EUROPEAN PHYSICAL JOURNAL C
ISSN journal
14346044 → ACNP
Volume
21
Issue
1
Year of publication
2001
Pages
193 - 196
Database
ISI
SICI code
1434-6044(200106)21:1<193:BPFSPM>2.0.ZU;2-Z
Abstract
Berry phase for a spin-1/2 particle moving in a flat space-time with torsio n 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 ther e is a Berry phase only if the fermion is massless and its momentum is perp endicular to the direction of the background polarization. The order of mag nitude of this Berry phase is discussed in other theoretical frameworks.