Internal Frame dragging and a global analog of the aharonov-Bohm effect

It is shown that the breakdown of a {ital global} symmetry group to a discrete subgroup can lead to analogs of the Aharonov-Bohm effect. At sufficiently low momentum transfer, the cross section for scattering of a particle with nontrivial Z{sub 2} charge off a global vortex is almost equal to (but d...

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Bibliographic Details
Published in:Physical review letters 1992-04, Vol.68 (17), p.2567-2575
Main Authors: MARCH-RUSSEL, J, PRESKILL, J, WILCZEK, F
Format: Article
Language:English
Subjects:
661100 - Classical & Quantum Mechanics- (1992-)
AMPLITUDES
Atomic and molecular physics
CALCULATION METHODS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Classical and quantum physics: mechanics and fields
DIFFERENTIAL EQUATIONS
Electronic structure of atoms, molecules and their ions: theory
EQUATIONS
Exact sciences and technology
FIELD THEORIES
General theory of scattering
LAGRANGIAN FIELD THEORY
LIE GROUPS
MECHANICS
Other topics in the theory of the electronic structure of atoms, molecules and their ions
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SHIFT
Physics
QUANTUM FIELD THEORY
QUANTUM MECHANICS
SCATTERING AMPLITUDES
SCHROEDINGER EQUATION
SYMMETRY BREAKING
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
WAVE EQUATIONS
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Summary:It is shown that the breakdown of a {ital global} symmetry group to a discrete subgroup can lead to analogs of the Aharonov-Bohm effect. At sufficiently low momentum transfer, the cross section for scattering of a particle with nontrivial Z{sub 2} charge off a global vortex is almost equal to (but definitely different from) maximal Aharonov-Bohm scattering; the effect goes away at large momentum transfer. The scattering of a spin-1/2 particle off a magnetic vortex provides an amusing experimentally realizable example.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.68.2567