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

Details Berry phase for spin--1/2 particles moving in a spacetime with torsion Berry phase for spin--1/2 particles moving in a spacetime with torsion

2000-09-19

arxiv.org/abs/gr-qc/0009067v2

Eur.Phys.J.C21:193-196,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages. Some typos corrected, a discussion on propagating torsion is added, accepted for publication in Eur. Phys. J. C (2001

Scientific paper

10.1007/s100520100692

Berry phase for a spin--1/2 particle moving in a flat spacetime 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.

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