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Magnetic Properties of Scalar Particles --The Scalar Aharonov-Casher
Effect and Supersymmetry
Xiao-Gang He, Bruce H. McKellar
abstract: The original topological Aharonov-Casher (AC) effect is due to the
interaction of the anomalous magnetic dipole moment (MDM) with certain
configurations of electric field. Naively one would not expect an AC effect for
a scalar particle for which no anomalous MDM can be defined in the usual sense.
In this letter we study the AC effect in supersymmetric systems. In this
framework there is the possibility of deducing the AC effect of a scalar
particle from the corresponding effect for a spinor particle. In 3+1 dimensions
such a connection is not possible because the anomalous MDM is zero if
supersymmetry is an exact symmetry. However, in 2+1 dimensions it is possible
to have an anomalous MDM even with exact supersymmetry.
Having demonstrated the relationship between the spinor and the scalar MDM,
we proceed to show that the scalar AC effect is uniquely defined. We then
compute the anomalous MDM at the one loop level, showing how the scalar form
arises in 2+1 dimensions from the coupling of the scalar to spinors. This model
shows how an AC effect for a scalar can be generated for non-supersymmetric
theories, and we construct such a model to illustrate the mechanism.
- oai_identifier:
- oai:arXiv.org:quant-ph/0208005
- categories:
- quant-ph hep-ph hep-th
- comments:
- RevTex 13 pages including one Figure. New Discussions added
- doi:
- 10.1016/S0370-2693(03)00245-4
- arxiv_id:
- quant-ph/0208005
- journal_ref:
- Phys.Lett. B559 (2003) 263-269
- report_no:
- UM-P-016-2002
- created:
- 2002-08-01
- updated:
- 2003-02-18
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